Evaluation of Definite Integrals by Substitution

The video tutorial explains the method of substitution for evaluating both indefinite and definite integrals. It outlines the steps involved in the substitution process, including considering the integral without limits, integrating with respect to a new variable, and re-substituting to find the final answer. The tutorial also presents an expedited method for definite integrals, where the limits are changed to match the new variable. Two examples are provided: one involving a polynomial integral and another involving a trigonometric integral, demonstrating the application of substitution in different contexts.

How do you find the values of the answers obtained in step three at the given limits of the integral?

Describe the example provided for evaluating the integral of cot inverse of X.