✅⬇️The integral of an odd function from −a to a is zero (where a is finite, and the function has no vertical asymptotes between −a and a). For an odd function that is integrable over a symmetric interval, the result of the integral over that interval is zero. The integral of an even function from −a to a is twice the integral from 0 to a (where a is finite, and the function has no vertical asymptotes between −a and a. This also holds true when a is infinite, but only if the integral converges).