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

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

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

\int_{- π}^{π} x^{2} sin (2 x) d x

0

Solution steps

\int_{- π}^{π} x^{2} sin (2 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 (2 x) :

Odd

= 0

\int_{0}^{7} x^{3} d x

\int_{0}^{2} (2 x - x^{2} + 1) d x

\int_{1}^{10} \frac{2}{x} d x

\int_{0}^{1} ∣ 1 - 2 x ∣ d x

\int_{1}^{2} (3 t^{2} + 2 e^{3 t} + \frac{1}{t} + 2 cos (3 t)) d t

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