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

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

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

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

0

Solution steps

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

Odd

= 0

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\int_{0}^{15 π} sin (x) d x

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