What is the integral from-pi to pi of x^2sin^3(x) ?

The integral from-pi to pi of x^2sin^3(x) is 0

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integral from-pi to pi of x^2sin^3(x)

\int_{- π}^{π} x^{2} sin^{3} (x) d x

0

Solution steps

\int_{- π}^{π} x^{2} sin^{3} (x) d x

If f(x) is an odd function and continuous at:

[- a, a]

then

\int_{- a}^{a} f (x) d x = 0

Parity of

x^{2} sin^{3} (x) :

Odd

= 0

\int_{- 2}^{0} x^{3} d x

\int_{2}^{7} t t + 2 d t

\int_{- 1}^{2} (3 x^{2} - 2 x + 1) d x

\int_{x}^{\infty} y e^{x - y} d y

\int_{- \frac{π}{4}}^{0} tan (x) d x

What is the integral from-pi to pi of x^2sin^3(x) ?
The integral from-pi to pi of x^2sin^3(x) is 0