Let $I=\int_{-a}^a(p\tan^3x+q\cos^2x+r\sin x)dx$ where p, q, r are arbitrary constants. The numerical value of I depends on:

p, q, r, a q, r, a q, a p, r, a

q, a

$I=\int\limits_{-a}^a(p\tan^3x+q\cos^2x+r\sin x)dx$ $=\int\limits_0^a([p\tan^3x+q\cos^2x+r\sin x]+[p\tan^3(-x)+q\cos^2(-x)+r\sin (-x)])dx=2\int\limits_0^aq\cos^2c\,dx$