What is the integral from-1 to 1 of x^2sin(x) ?

The integral from-1 to 1 of x^2sin(x) is 0

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integral from-1 to 1 of x^2sin(x)

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

0

Solution steps

\int_{- 1}^{1} 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_{- 2}^{3} \frac{4}{3 x ^{2}} d x

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

\int_{0}^{1} 2 x^{8} ln (x) d x

\int_{0}^{x^{2}} sin (t^{2}) d t

\int_{0}^{t} sin (x) d x

What is the integral from-1 to 1 of x^2sin(x) ?
The integral from-1 to 1 of x^2sin(x) is 0