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What integral technique do I use? (13 examples, calculus 2)

Автор: bprp calculus basics

Загружено: 2021-09-21

Просмотров: 22097

Описание:

Which integration technique do we use? How to choose between U-substitution, integration by parts, trig substitution, or integration by partial fractions? Here I will demonstrate 13 integrals and how we decide what technique to use on them. Here is the file for you to try all the problems first 👉   / 103126364  
Best of luck with your calculus class!

0:00 What Integration Technique Do We Use?
0:56 Q1 to Q4
9:15 Q5 to Q8
17:54 Q9 to Q13

Please see my other videos for their individual solution.
Q1, integral of sin^-1(x),    • How to do integration by parts  
Q2, integral of (sin(x)+cos(x))^2,    • trig integrals involving sine and cosine (...  
Q3, integral of (3x-5)/((x-1)(x-3)(x-5)),    • Integration By Partial Fractions (distinct...  
Q4, integral of x^5*sin(x^3),    • Integrals with both u-substitution & the D...  
Q5, integral of sqrt(x^2+1),    • Integral of sqrt(x^2+1), integral of sqrt(...  
Q6, integral of ln(x)/x^2,    • How to do the DI Method (for integration b...  
Q7, integral of e^x/(1+e^(2x)),    • A derivative & integral review you need be...  
Q8, integral of (3x-5)/((x+1)(x+2)^2),    • Integration By Partial Fractions (repeated...  
Q9, integral of sin^3(x)/cos(x),    • trig integrals involving sine and cosine (...  
Q10, integral of 1/(1-sqrt(x)),    • A derivative & integral review you need be...  
Q11, integral of pi^x,    • A derivative & integral review you need be...  
Q12, integral of sqrt(2-x^2)/x^2,    • Trig substitution integration (x=a*sinθ, 4...  
Q13, integral of tan(x)*sec^4(x)

What integral technique do I use? (13 examples, calculus 2)

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