Example for evaluation problem

Definition:

One of the most important method of evaluation of indefinite integral is method of substitution. While using method of substitution to evaluate definite integrals, following steps are involved.We know that one of the most important method of evaluation of indefinite integral is method of substitution. While using method of substitution to evaluate definite integrals, following steps are involved.

The methods of solving algebra equation in polynomial are evaluate by Substitution method or connect equation method elimination method or addition or subtraction method.

Example:

1. Evaluate the definite integral .

Solution:

Put t = tan^-1x or x = tan t

when x = 0

tan t = 0

when x = 1, tan t =1