Which method allows students to manage complex integrals more simply through variable change?

The method that allows students to manage complex integrals more simply through variable change is the Method of Substitution. This technique is particularly useful for integrals that are difficult to solve in their original form. The process involves making a substitution for one or more variables, which simplifies the integral into a more manageable form.

For instance, if you have an integral that includes compositions of functions, you can replace the inner function with a new variable. This transformation can lead to an easier integral to work with, as it often eliminates complicated algebraic structures or trigonometric identities. After integrating, students can then substitute back to the original variable to find the solution to the integral.

The effectiveness of this method lies in how it can turn a complex integral into a simpler one by reducing the degree of difficulty associated with the function being integrated. By choosing a suitable substitution, students can reveal underlying patterns in the integrand that make the integration process straightforward.