Question

What is the purpose of u-substitution in calculus?

a) To find the derivative of a function
b) To simplify integrals by making a substitution
c) To solve linear equations
d) To factorize polynomials

Answer 1

The purpose of u-substitution in calculus is to simplify integrals by making a substitution.

Step-by-step explanation:

The purpose of u-substitution in calculus is to simplify integrals by making a substitution. It is a technique used to transform complex integrals into simpler forms that are easier to solve. By choosing an appropriate substitution (often denoted by u), the integral can be rewritten in terms of u, making it easier to evaluate.