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

1. Derivative should be there.

2. Solve integral with basic formula.

Step-by-step solution

Introduction

Most integral solve by using substitution. By letting function to some other variable.

Explanation

In substitution choose function as \(u(x)\).

List of things that need to be considered while substitution:-

1. Derivative of \(u(x)\) should be in integrand.

2. After substitution integral should be easy or use basic formula.

3. After integration need to replace with the original variable.