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

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

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

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

0

Solution steps

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

\int_{0}^{\frac{π}{4}} sin^{3} (θ) d θ

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

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

\int_{0}^{0.35} ln (1 + x^{2}) d x

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