"Integration by Substitution" (also called "u-Substitution" or "The Reverse Chain Rule") is a method to find an integral, but only when it can be set up in a special way.

Integration by substitution consists of finding a substitution to simplify the integral. For example, we can look for a function u in terms of x to obtain a function of u that is easier to integrate. …

When dealing with definite integrals, the limits of integration can also change. In this unit we will meet several examples of integrals where it is appropriate to make a substitution.

May 24, 2025 · At first, identifying an appropriate substitution to facilitate the evaluation of the integral may not be straightforward. However, we will proceed systematically to transform the …

Jul 23, 2025 · The problems indicated and discussed in this article have been selected to let the students revise the discussed technique more effectively and prepare for the possible …

This section contains numerous examples through which the reader will gain understanding and mathematical maturity enabling them to regard substitution as a natural tool when evaluating …

35.1. Introduction ntegral by a simpler integral. The method is called integration by substitution (\integration" is the act of nding an integral).

The integral of a function is simplified by this method of integration by substitution, by reducing the given function into a simplified function. Let us learn the process of integration by substitutions, …

Learn integration by substitution with the formula, step-by-step guide, and examples. Practice solving integration by substitution questions effectively.

The method of substitution in integration is similar to finding the derivative of function of function in differentiation. By using a suitable substitution, the variable of integration is changed to new …