Question

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

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

Step-by-step solution

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)?

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.