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

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

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

\int_{- \frac{π}{2}}^{\frac{π}{2}} x^{2} sin (x) d x

0

Solution steps

\int_{- \frac{π}{2}}^{\frac{π}{2}} x^{2} sin (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 (x) :

Odd

= 0

\int_{0}^{1} x^{2} 1 + 3 x^{3} d x

\int_{- 2}^{3} (3 x^{4} - 4 x^{3} - x - 4) d x

\int_{0}^{1} e^{2 x^{3}} d x

\int_{4}^{9} x^{\frac{3}{2}} d x

\int_{0}^{e^{- z^{4}}} z d z

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