Question

what is integration of tan^3x when x =0 to x=pi/2?​

Answer 1

Answer:

2 sin(arcsin(3x/2)) cos(arcsin(3x/2)). 3. + C. = ... Since u = arctan(x), -π/2 ≤ u ≤ π/2 and sec u ≥ 0, so .... -x2 cos x + 2x sinx + 2 cosx + ∫ 0 dx = -x2 cos x + 2x sin x + 2 cos x + C.