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U-substitution in definite integrals is just like substitution in indefinite integrals except that, since the variable is changed, the limits of integration must be changed as well. I create online courses to help you rock your math class. Read more. Substituting back into the integral including for our limits of integration , we get.

Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. Connect and share knowledge within a single location that is structured and easy to search. I need help solving this integral -- I'm completely bewildered. What am I doing wrong?

Substitution can be used with definite integrals, too. However, using substitution to evaluate a definite integral requires a change to the limits of integration. If we change variables in the integrand, the limits of integration change as well. Although we will not formally prove this theorem, we justify it with some calculations here.

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