Special definite integrals of even and odd functions
Recall that a function f is called even when for every input in its domain.
Because of this, the graph of every even function has symmetry with respect to the -axis.
Recall that a function is called odd when for every input in its domain.
Because of this, the graph of every odd function has symmetry with respect to the origin.
Because of the symmetry of even and odd functions, there are short-cut methods to computing definite integrals of these functions when the limits of integration go from to . Can you determine these short-cut methods based on the interactive figure?
Developed for use with Thomas' Calculus, published by Pearson.