IntegrationbySubstitution (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.
There is no direct method of substitution; we have to observe the function carefully and then have to decide what is to be substituted in the function to make it easily integrable.
In calculus, integrationbysubstitution, also known as u-substitution, reverse chain rule or change of variables, [1] is a method for evaluating integrals and antiderivatives.
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 given integral into a more manageable form and obtain the desired result.
What Is IntegrationbySubstitution? Integrationbysubstitution is used when the integration of the given function cannot be obtained directly, as the given algebraic function is not in the standard form. Further, the given function can be reduced to the standard form by appropriate substitution.
One of the most powerful techniques is integrationbysubstitution. With this technique, you choose part of the integrand to be u and then rewrite the entire integral in terms of u.
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.