Master the Right Integration Technique: Trig Sub, U-Sub, DI Method & Partial Fractions π
Confused about which integration method to choose in Calculus 2? Learn when to use substitution, integration by parts, partial fractions, and trig substitution with this clear, step-by-step tutorial!

blackpenredpen
1.7M views β’ Feb 19, 2019

About this video
So what integration technique should I use? When to use trig sub? When do you use integration by parts? This calculus tutorial will strengthen your integration skills!
Q1 to Q5 Solution: π https://youtu.be/KJY0gJMhpTY
Full solution (plus problem and solution files) π https://www.patreon.com/posts/full-solution-to-128217668
**DI METHOD (for integration by parts)** https://youtu.be/2I-_SV8cwsw
start: 0:00
integral of ln(x)/x^3, 0:45
integral of sec^4(x), 2:29
integral of (2x+3)/(x^2-5x+4), 3:50
integral of x^2*tan(x^3), 5:50
integral of 1/(1+x^2)^(5/2), 7:17
integral of e^sqrt(x), 8:50
integral of sin^2(x), 10:37
integral of 1/(sqrt(x+1)-sqrt(x)), 11:20
integral of e^x/sec(x), 13:15
integral of 1/(1+cos(x)), 15:09
integral of (x-4)/(x^4-1), 17:44
integral of x^2/sqrt(1-x^2), 19:24
#calculus #blackpenredpen #apcalculusbc
Q1 to Q5 Solution: π https://youtu.be/KJY0gJMhpTY
Full solution (plus problem and solution files) π https://www.patreon.com/posts/full-solution-to-128217668
**DI METHOD (for integration by parts)** https://youtu.be/2I-_SV8cwsw
start: 0:00
integral of ln(x)/x^3, 0:45
integral of sec^4(x), 2:29
integral of (2x+3)/(x^2-5x+4), 3:50
integral of x^2*tan(x^3), 5:50
integral of 1/(1+x^2)^(5/2), 7:17
integral of e^sqrt(x), 8:50
integral of sin^2(x), 10:37
integral of 1/(sqrt(x+1)-sqrt(x)), 11:20
integral of e^x/sec(x), 13:15
integral of 1/(1+cos(x)), 15:09
integral of (x-4)/(x^4-1), 17:44
integral of x^2/sqrt(1-x^2), 19:24
#calculus #blackpenredpen #apcalculusbc
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Video Information
Views
1.7M
Likes
56.9K
Duration
22:40
Published
Feb 19, 2019
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