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