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Chapter 5: Q. 4 (page 417)

List some things which would suggest that a certain substitution u(x) could be a useful choice. What do you look for when choosing u(x)?

Short Answer

Expert verified

U-Substitution is a technique we use when the integrand is a composite function.

Step by step solution

01

Step 1. Given Information

List some things which would suggest that a certain substitution u(x) could be a useful choice. What do you look for when choosingu(x)?

02

Step 2. We use substitution u(x)  methods when:

U-Substitution is a technique we use when the integrand is a composite function.

The first thing we will need to do is to recognize that we are being asked to integrate a product of a function and it's derivatives and it takes the form of a composite function.

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