What is the integral from-2 to 2 of x(x^2-4)^2 ?

The integral from-2 to 2 of x(x^2-4)^2 is 0

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integral from-2 to 2 of x(x^2-4)^2

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

0

Solution steps

\int_{- 2}^{2} x (x^{2} - 4)^{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} - 4)^{2} :

Odd

= 0

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What is the integral from-2 to 2 of x(x^2-4)^2 ?
The integral from-2 to 2 of x(x^2-4)^2 is 0