Question

The value of ${\int }_{-\pi }^{\pi }(1-x^2)\sin x{\cos }^{2}xdx$ is :

• A. 0
• B. $\pi -\frac{{\pi }^3}{3}$
• C. $2\pi -{\pi }^3$
• D. $\frac{\pi }{2}-2{\pi }^3$

Answer 1

Answer: (A)

Correct answer is (a) 0