4.4.2 Evaluating Definite Integrals by Substitution - Analytic Geometry and Calculus I

In this video, we evaluate definite integrals by u-substitution.

To that end, we
(1) identify an inside function, and call it u,
(2) compute du,
(3) write the integrand entirely in terms of u,
(4) find the new limits of integration in terms of u by substituting the original limits of integration into the formula for u(x),
(5) then we evaluate the definite integral in terms of u using the Fundamental Theorem of Calculus.

That may require rewriting the integrand so that our basic rules apply, computing the antiderivative, and evaluating F(u(b))-F(u(a)).