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Lecture 16

# MATH 2B Lecture Notes - Lecture 16: Trigonometric Substitution, Partial Fraction DecompositionPremium

by OC1211656

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MATH 2B - Lecture 16 - Strategy for Integrations

In general, the process of integration is not very straightforward. It usually requires more

than one method to solve for one integral.

● List of strategies:

1. u-substitution

2. Integration-by-parts

3. Trigonometric integrals

4. Trigonometric substitution

5. Integration by partial fraction

● Since u-sub is the most basic one. It is very usual that we will need u-sub

together with another one of the strategies

● Let’s first talk about or

○ If we observe there is in the integral, we can try . If there is

, we can try

Example:

Solution:

● Integration-by-parts:

○

○

○

Example:

Solution:

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