Search results “Integral product formula”

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Integration by Parts - Deriving the Formula.
In this video, I show the easy process of how to derive the integration by parts formula that is used in calculus to integrate certain functions. All we do is use the product rule and then integrate it!

Views: 65486
patrickJMT

This tutorial demonstrates how to do integration by parts.
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Learn Math Tutorials

MIT grad shows how to integrate by parts and the LIATE trick. To skip ahead: 1) For how to use integration by parts and a good RULE OF THUMB for CHOOSING U and DV, skip to time 2:46. 2) For the TRICK FOR CHOOSING U and DV (the LIATE memory trick) skip to 10:12. Nancy formerly of MathBFF explains the steps.
Follow Nancy on Instagram: https://instagram.com/nancypi
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WHEN to use INTEGRATION BY PARTS: If you have an integral to evaluate, and you don't already know how to integrate it, as is, then see if you can simplify it somehow with algebra. If not, try doing a substitution, like U-Substitution. If U-Substitution does not help, then you may need to use the INTEGRATION BY PARTS formula.
RULE OF THUMB: The first step to use Integration by Parts is to pick your "u" and "dv". As a general rule of thumb, whichever factor in your integrand gets simpler when you take the derivative of it, make that your u. Then make the other factor your dv (and include the dx in this dv). Note: This works if the part you chose for dv does not get any bigger or more complicated when you integrate it. After you've picked u and dv, then find du by differentiating u, and find v by integrating dv. Finally, plug everything into the integration by parts formula and simplify.
TRICK: You can instead use an acronym memory trick to choose the right "u". The acronym LIATE stands for Logs, Inverse trig functions, Algebraic functions, Trig functions, and Exponentials (in that order). If you follow those letters, LIATE, in sequence, whichever type of function you find first that you have, make that your u. Then, make the next thing you find your dv. Once you've picked u and dv this way, the steps are the same as above. Find du by differentiating u, and find v by integrating dv. Then use the IBP (integration by parts) formula and simplify for the answer.
For more of my calculus and math videos, check out: http://nancypi.com

Views: 70897
NancyPi

In this video I have discussed integration by parts rule with the help of examples and its solutions,
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Dhiman Rajesh Dhiman

Definite integrals of product of sines

Views: 67341
Khan Academy

This calculus video tutorial explains how to find the indefinite integral of function. It explains how to apply basic integration rules and formulas to help you integrate functions. This video contains plenty of examples and practice problems.
Calculus Video Playlist:
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Here is a list of topics:
1. Basic Integration Rules and Formulas
2. Indefinite Integral and Constant of Integration
3. Integrating Constants and Linear Functions
4. Parabolic and Quadratic Functions
5. Polynomial Functions
6. Integration of Rational Functions and Fractions
7. Indefinite Integral - Square Root and Radical Functions
8. Exponential Functions and Natural Logarithms
9. Trig Functions, Sine, Cosine, Tangent, and Secant
10. Integration Techniques - U-Substitution, Integration By Parts, and Trigonometric Substitution.

Views: 327481
The Organic Chemistry Tutor

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! 30 Challenging Integrals with Detailed Solutions: http://www.teacherspayteachers.com/Product/Calculus-30-Challenging-Integration-Problems-with-Detailed-Solutions
What Integration Technique Do I Use ? Example 1. Determining how to integrate a particular function can be challenging. In this video, I try to show how I approach them.

Views: 316018
patrickJMT

Introduction to the Line Integral
Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals/v/line-integral-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus
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Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions.
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Views: 576539
Khan Academy

In this video, I derive the Wallis product formula, which says that 2/1 2/3 4/3 4/5 ... = pi/2, where the numerator runs through all the positive even integers counted twice, and the denominator through all the adjacent odd integers. This proof involves only calculus, and is a delight for all the calculus lovers! Enjoy!

Views: 3515
Dr. Peyam's Show

Visit http://ilectureonline.com for more math and science lectures!
In this video I will show the method of using the integration by parts method to find the integral of a product.
Next video in the series can be seen at:
https://youtu.be/HZrH6swaeb4

Views: 1279
Michel van Biezen

This video screencast was created with Doceri on an iPad. Doceri is free in the iTunes app store. Learn more at http://www.doceri.com

Views: 10830
Mr Betz Calculus

Zeta function and Gamma functions,
Bose Integral,
blackpenredpen,
math for fun,
https://blackpenredpen.com/bprplive, https://twitter.com/blackpenredpen,
[email protected]

Views: 24393
blackpenredpen

What has pi to do with the prime numbers, how can you calculate pi from the licence plate numbers you encounter on your way to work, and what does all this have to do with Riemann's zeta function and the most important unsolved problem in math? Well, Euler knew most of the answers, long before Riemann was born.
I got this week's pi t-shirt from here: https://shirt.woot.com/offers/beautiful-pi
As usual thank you very much to Marty and Danil for their feedback on an earlier version of this video and Michael (Franklin) for his help with recording this video..
Here are a few interesting references to check out if you can handle more maths: J.E. Nymann, On the probability that k positive integers are relatively prime, Journal of number theory 4, 469--473 (1972) http://www.sciencedirect.com/science/article/pii/0022314X72900388 (contains a link to a pdf file of the article).
Enjoy!
Burkard

Views: 115923
Mathologer

Start with the pair of fractions (2/1)(2/3). Now increment each number by 2 to get the pair of fractions (4/3)(4/5). Repeat this to get the next pair, and repeat this infinitely many times. If you then multiply all the fractions, you get a marvelous value: it is equal to pi divided by 2. The Wallis product formula for pi was described in 1655. This video explains some of the historical motivation and then gives a modern proof using calculus of why the formula is true.
My blog post for this video
http://wp.me/p6aMk-4U7
Factorial of 1/2 video
https://youtu.be/QhDDpSju3uY
Wallis product
https://en.wikipedia.org/wiki/Wallis_product
Wallis product historical motivation
https://www2.bc.edu/mark-reeder/1103WG(4-22).pdf
Wallis pi and quantum theorem
http://www.intmath.com/blog/mathematics/wallis-pi-and-quantum-theory-10494
Geometric intuition of Wallis product
http://commonsensequantum.blogspot.com/2010/03/exhaustion-of-nested-squares-and-wallis.html
Wallis's original book "Arithmetica Infinitorum"
https://archive.org/details/ArithmeticaInfinitorum
Another proof of the Wallis product
Wästlund, Johan. "An Elementary Proof of the Wallis Product Formula for Pi." The American Mathematical Monthly 114.10 (2007): 914-17. Web. http://www.jstor.org/stable/27642364
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Views: 108307
MindYourDecisions

This calculus video tutorial focuses on the integration of rational functions that yield logarithmic functions such as natural logs. The techniques involve include integrating by substitution, long division, and splitting a fraction into multiple smaller fractions all of which will produce natural logarithms containing absolute value functions. This video contains plenty of examples and practice problems with u-substitution of indefinite integrals & Antiderivatives generating natural log functions.

Views: 81113
The Organic Chemistry Tutor

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Line Integrals - Evaluating a Line Integral - I give the basic formula and do one example of evaluating a line integral.
For more free math videos, visit http://PatrickJMT.com

Views: 470050
patrickJMT

Visual Example of How to Use U Substitution to Integrate a function. Tutorial shows how to find an integral using The Substitution Rule.
Another Example: https://youtu.be/OZNEhmT6fl8
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Calc1fun

This video continues illustrating methods for solving trigonometric integrals that contain combinations of trigonometric functions. Specifically, those that contain products of sine and cosine with distinct arguments (angles). This video covers 3 examples illustrating the use of the product to sum identities for sine and cosine.
#calculus2 #math #school
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Math Fortress

This indefinite integral example seems to go round in a loop, but be patient and it works out! We simply apply IBP twice.

Views: 16916
Maths with Jay

This Video Lecture Series presented By VEDAM Institute of Mathematics is Useful to all students of Class 11th & 12th of CBSE, ICSE, MP Board and other boards of India.
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Jaipal Vishwakarma

Definite integral of the product of cosines. The integral of cos(mt) * cos(nt) = 0, except for the special case when m = n. When m = n, the integral evaluates to pi.

Views: 51590
Khan Academy

trig formula: product to sum
blackpenredpen

Views: 701
blackpenredpen

This calculus video tutorial explains how to find the integral of trigonometric functions containing odd and even powers using trig identities and techniques such as u-substitution and integration by parts. This video contains plenty of examples and practice problems.
Here is a list of topics:
1. Trigonometric Integrals - sine, cosine, tangent and secant functions
2. Trig Identities - sin, cos, tan and secant
3. Double Angle Identities, Half Angle Identities and Power Reducing Formulas
4. Integral of Cos^3x, sin^2x, cos^6x, cos^2(3x) and sin^4(x)
5. Trigonometric Identities
6. Techniques of Integration - U-substitution and Integration by parts
7. Even and Odd Powers
8. Indefinite Trigonometric Integrals
9. Antiderivatives and Integral of sin^3(x) cos^2(x), sin^5(x) cos^2(x), sin^5(x) cos^3(x), sin^2(x) cos^2(x), cos^2(x) tan^3(x), (1-sinx) / cosx
10. Integral of sec^3x, tan^4x, secx, tanx, tan^2x, tan^4x, sec^4x,sec^6x, tan^3x.
11. Trigonometric Integral of sec^2(x)tan(x), csc^4(x)cot^6(x), tan^6(x) sec^4(x), sin(4x)cos(5x) and sin(5x)sin(2x)
12. Product to Sum Trigonometric Identities

Views: 107363
The Organic Chemistry Tutor

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Buy my book!: '1001 Calculus Problems for Dummies' - you can get it on my website: http://patrickjmt.com/
Practice problems and detailed solutions made by me!:
http://www.teacherspayteachers.com/Product/Calculus-Trigonometric-Integrals
Trigonometric Integrals - Part 1 of 6. In this video, the 'cookie cutter' case of products of odds powers of sine and/or odd powers of cosine is discussed.
For more free math videos, visit http://PatrickJMT.com

Views: 875657
patrickJMT

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Integral of sin(7x)*cos(3x) using the Product to Sum Formula

Views: 54
The Math Sorcerer

Could integral of a product be the product of the integrals? Watch and find out!
Fake product rule for derivative: https://youtu.be/ZH5rfWcR7l4
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blackpenredpen

Evaluate an integral involving the product of tangent with an even power and secant with an odd power using a power reduction formula.

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M4thG33x

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Integral of sin(3x)*sin(2x) using the Product to Sum Formula Trigonometric Integrals Calculus 2

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The Math Sorcerer

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !!
Integration by Parts - Definite Integral.
In this video I do a definite integral using Integration by Parts.
For more free math videos, visit http://PatrickJMT.com

Views: 479202
patrickJMT

This calculus video tutorial shows you how to integrate a function using the the U-substitution method. It covers definite and indefinite integrals. It contains plenty of examples and practice problems including fractions, square roots / radicals, exponential functions, natural logs, and trig functions.
Here is a list of topics:
1. Antiderivatives - Integration Using U-Substitution
2. How to determine what to set the U variable equal to
3. Definite vs Indefinite Integral
4. Examples with fractions - natural log functions - 1/x
5. Rational Functions
6. Square Root and Radical Functions
7. Trig Functions - Sine, Cosine, Tangent and Secant
8. Exponential Functions - e^x
9. Logarithmic Functions - ln x
10. Cos 2x, lnx/x examples
11. Changing Limits of Integration x to u

Views: 212262
The Organic Chemistry Tutor

Definite integral of sine and cosine product

Views: 90923
Khan Academy

Derive the integration by parts formula using the product rule

Views: 4040
Mathematics Proofs - GCSE & A Level

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Intergration by Parts - A Loopy Example! In this video I show how to use IBP's twice to solve an integral even though at first it may look like no progress is being made!
For more free math videos, visit http://PatrickJMT.com

Views: 324019
patrickJMT

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Today's video is going to be exciting! W are going to derive the Leibniz Rule for integrals in its whole form! It's one of the most powerful tools of integration, so be prepared! :)^
Quick note: The Integral I(x,t) is just in terms of t, so it's I(t) thanks for noticing! Even though, it doesn't quite matter, since we are just differentiating by t^^
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Flammable Maths

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INTEGRATION Shortcut Method
Imp topic for Integral calculus.
In earler part we discussed Integration by parts Shortcut and trick.
Here in this part We are trying to explain Concept of Formulas of integration Useful to solve integration easily and quickly.
There are various formulas of integration which help us to solve questions and examples quickly.
These are also helpful in uv rule of intgral Class 12 NCERT CBSE.
It is as fast as Tabular Integration.
This antiderivative formula is useful to solve Problem quickly.
It is silimar to integration by parts shortcut but only difference of formula trick.
These maths integration tricks are useful in IIT JEE mains and Advance.
these integral Calculus tricks save a lot of time in examination.
the definite integral is explained with examples.
This is best method to evaluate integrals
In this method, we will solve without using rules and basic formulas of integration.
it is explained in hindi and english.
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Mandhan Academy

Using the reverse of the product rule to solve problems with multiplication of functions.

Views: 10465
Juan Klopper

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Integrate cos(7x)*cos(2x) Trigonometric Integral using the Product to Sum Formula

Views: 21
The Math Sorcerer

Using line integrals to find the work done on a particle moving through a vector field
Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/using-a-line-integral-to-find-the-work-done-by-a-vector-field-example?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus
Missed the previous lesson?
https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/position_vector_functions/v/vector-valued-function-derivative-example?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus
Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
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Subscribe to KhanAcademy’s Multivariable Calculus channel:
https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1
Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy

Views: 403178
Khan Academy

Find the complete list of videos at http://www.prepanywhere.com
Follow the video maker Min @mglMin for the latest updates.

Views: 41
MGL Math

We shall take a journey through the mind of English mathematician John Wallis and see how he in 1656 discovered intrinsic formula known as Wallis's Product. Hope you like it!
Note: I had to make this a 4-part video without sacrificing the mathematical rigour. I hope you can watch all of them for a complete proof.
Check out www.gaussianmath.com for a more indepth look and other calculus related topics.

Views: 9538
Donny Lee

LINK TO THE SOLUTION OF INTEGRATION: https://drive.google.com/open?id=1fQWH0s9AZ0IU-0DSKHSdzWb08vWsxHlu
THIRD ORDER RATE EQUATION FOR THE REACTION WHERE THE RATE IS SECOND ORDER WITH ONE REACTANT AND FIRST ORDER WITH OTHER REACTANT IE 2A+B=PRODUCT IS DISCUSSED
PLEASE LIKE SHARE AND SUBSCRIBE.....

Views: 1903
Advanced Chemistry

In this video, I show a basic example of computing the convolution of two functions.

Views: 18147
patrickJMT

▶ ▶ ▶ INTEGRATION BY PARTS PLAYLIST: https://goo.gl/FhdLyy
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▶ ▶ ▶ HARDER INTEGRALS/ANTIDERIVATIVES PLAYLIST: https://goo.gl/FfCaXZ
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▶ ▶ ▶ INTEGRATION BY SUBSTITUTION PLAYLIST: https://goo.gl/PHLvW4
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▶ ▶ ▶ INTEGRATION BY PARTIAL FRACTIONS PLAYLIST: https://goo.gl/QhEjWq
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▶ ▶ ▶ INTEGRATION PLAYLIST (all problems): https://goo.gl/Nrwsqz
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In this video you will learn how to derive the Integration by Parts Formula using the Derivative Product Rule.
0:08 Writing out the Product Rule of Differentiation
0:42 Integrating both sides
1:11 Solving for one term (integral)
2:05 Substituting the f(x) and g'(x) with u and dv, and f'(x) and g(x) with du and v
3:19 Substituting these into the equation with integrals
4:06 Testing the Integration by Parts Formula by integrating f(x)=lnx
►►►Related Videos to this topic:
Definite Integral (COMPLEX):
f(x)=e^[cbrt(x)], [0,8]
https://youtu.be/D-h36v5eRPc
Antiderivative (COMPLEX):
f(x)=e^(6x)sin(e^(2x))
https://youtu.be/vIM2r53SMrE
Definite Integral:
f(x)=lnx, [1,10]
f(x)=xlnx, [1,2]
https://youtu.be/zbSFo2D4X4A
Definite Integral:
f(x)=xsin2x, [0,1]
f(x)=xcosπx, [0,1]
https://youtu.be/XRIb7OhYQ-k
Antiderivative:
f(x)=sin[sqrt(x)]
https://youtu.be/JNkEpYsdLAM
Antiderivative:
f(x)=cos^-1x
https://youtu.be/zKyAZo5o6vI
Antiderivative:
f(x)=cosxcos2x
f(x)=cosxln(sinx)
https://youtu.be/ieSFgC75hdQ
Antiderivative:
f(x)=e^xsin4x
https://youtu.be/S1FwWIZcJF0
Antiderivative:
f(x)=x^2lnx
f(x)=x^2e^(-3x)
https://youtu.be/YFhZxSNdGuA
Antiderivative:
f(x)=xcosx
f(x)=xe^(2x)
https://youtu.be/PzITB-GZ9Cw
______________________
►►► CALCULUS PLAYLIST: https://goo.gl/sw5cj5

Views: 86
MathCabin

This video explains how to find an indefinite integral of a product of two linear functions.
Site: http://mathispower4u.com

Views: 6033
Mathispower4u

What is integration by parts? How the result of by part is obtained?.
Product rule for derivatives.Different presentation of formula by parts.https://www.facebook.com/382605115538252/photos/384188768713220/
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Please watch: "Tricks to Remember Elements of Periodic Table;"
https://www.youtube.com/watch?v=qC6kMe-OjBk
-~-~~-~~~-~~-~-

Views: 389
FunTasTricks

Working through an example using the reverse product rule for integration.

Views: 859
Juan Klopper

In this continuation of our Famous Math Problem 10, we derive Cavalieri's quadrature formula for polynomials in a new, completely algebraic way, avoiding any use of `real numbers', `infinite processes' and `limits'. The key tool is rather the Binomial theorem, and five basic properties that any reasonable theory of area/integration should satisfy: Linearity, Additivity, Translation Invariance, Scale Invariance and Normalization.
Along the way we give brief overviews of different classical approaches to setting up integration theory, such as the Riemann Integral, the Lebesgue Integral and some others. One should be highly suspicious of these theories, which, contrary to popular opinion, have NOT been developed logically and clearly. This is why an algebraic alternative such as we initiate here is so important.
Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of each lecture. Great for review, study and summary.
A screenshot PDF which includes FamousMathProbs1 to 12 can be found at my WildEgg website here: http://www.wildegg.com/store/p111/product-FamousMathProblems-screenshot-pdf

Views: 7797
njwildberger

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