What is the integral from-2 to 2 of x(x^2-8) ?

The integral from-2 to 2 of x(x^2-8) is 0

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integral from-2 to 2 of x(x^2-8)

\int_{- 2}^{2} x (x^{2} - 8) d x

0

Solution steps

\int_{- 2}^{2} x (x^{2} - 8) 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} - 8) :

Odd

= 0

\int_{- 2}^{2} 10 x^{9} + 25 x^{7} d x

\int_{0}^{\infty} c e^{- a x} d x

\int_{0}^{\frac{π}{2}} \frac{1}{2} (sin (2 θ)) d θ

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

\int_{0}^{\infty} cos (t) d t

What is the integral from-2 to 2 of x(x^2-8) ?
The integral from-2 to 2 of x(x^2-8) is 0