Solution
= Solution
The function $x^2\sin x$ is an <odd function>, since $x^2$ is even and the <sine> is odd. Its <integral> on the symmetric interval therefore cancels:
$$
\boxed{\int_{-\pi}^{\pi}x^2\sin x\,dx=0.}
$$
= Solution
The function $x^2\sin x$ is an <odd function>, since $x^2$ is even and the <sine> is odd. Its <integral> on the symmetric interval therefore cancels:
$$
\boxed{\int_{-\pi}^{\pi}x^2\sin x\,dx=0.}
$$