Calculus 2: Integration of Rational Functions by Partial Fractions (Video #4) | Math w/ Professor V
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- čas přidán 29. 08. 2020
- Examples of all four cases involved with using partial fraction decomposition to evaluate integrals. The resulting integrals can involve natural logarithms, inverse trig functions, u-substitution, trigonometric substitution--you name it! An integration potpourri! #integration #partialfractions #calculus2 #mathtvwithprofessorv #integralcalculus #mathvideos #youtubemath #mathprofessor #trigonometricsubstitution #partialfractionintegration #usubstitution #calculusvideos #calculushelp #mathtutor #math #calculus #integration #integrals #integrationtechniques
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Calculus 2 Lecture Videos on Integration:
Integration by parts: • Calculus 2: Integratio...
Tabular Integration: • Integration by Parts -...
Trigonometric integrals: • Calculus 2: Trigonomet...
Trigonometric Substitution: • Calculus 2: Trigonomet...
Partial Fraction Decomposition: • Calculus 2: Integratio...
Strategy for Integration: • Calculus 2: Strategy f...
Improper Integrals: • Calculus 2: Improper I...
Trig Review:
Unit Circle: • Trigonometry: Circular...
Trig Identities: • Precalculus: Trigonome...
Sum and Difference Formulas: • Precalculus: Sum and D...
Double Angle & Half-Angle Formulas: • Precalculus: The Doubl...
Calculus 3 Video Lectures:
• Calculus 3 Video Lectures
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Hey professor V, for example#3 in the asides, for integral 3 after the u sub I think it's meant to be 1/2 integral of du/u ?
Yes, so sorry I wrote it flipped! Good catch Kyle 👍🏻
took 3 years, but it was finally caught
That’s because Kyle is the most stellar of students 👌🏻👌🏻
Never knew about splitting the numerator before solving the integral until watching this video! New tool unlocked to take on integrals! Thank you :)
Yessssss it’s super helpful to do sometimes! Happy to help! ☺️
If I had that last question on an exam i'd just walk out lmao
man i know im screwed when a single problem takes up 2 pages in my notebook
same ;-;
Thank you!!!!!!!1
You’re welcome! 😄😄❤️
Hi Professor V, in example #4, how are you able to use trig sub when the integrals don't involve a radical function? I see the a^2+x^2 present, but they are not under a square root? 39:19 in the video.
Trig sub is most often used with radical functions, but not exclusively so. Just think of it as another integration tool you can apply when necessary. Alternatively, you could have used a u-sub for that part of the problem and let u = x + 1...
@@mathwithprofessorv Thank you so much for the response! Makes sense.
Hi professor v why u don't add 1/2 outside the integral 34:20
Because I didn’t u-sub at that time stamp, later on when I make the u-sub the 1/2 is there 😉
@@mathwithprofessorv ohh ok dear thanks for response
i am coming again!
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