Integrate. choose the best approach and the answer. latex: \int\sin^3x\: dx ∫ sin 3 ⁡ x d x a. use latex: \sin^2x=\frac{1}{2}\left(1-\cos2x\r ight) sin 2 ⁡ x = 1 2 ( 1 − cos ⁡ 2 x ) , then use u-substitution b. use latex: \sin^2x=1-\cos^2x sin 2 ⁡ x = 1 − cos 2 ⁡ x , then use u-substitution c. latex: -\cos x+\frac{1}{3}\cos^3x\: +c − cos ⁡ x + 1 3 cos 3 ⁡ x + c d. latex: \frac{1}{3}\cos^3x\: +c 1 3 cos 3 ⁡ x + c e. latex: \frac{1}{3}\cos^3x-\frac{2}{3}\sin^ 3x\: +c