What is the integral from-2 to 2 of x(x^2-9) ?

The integral from-2 to 2 of x(x^2-9) is 0

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integral from-2 to 2 of x(x^2-9)

\int_{- 2}^{2} x (x^{2} - 9) d x

0

Solution steps

\int_{- 2}^{2} x (x^{2} - 9) 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} - 9) :

Odd

= 0

\int_{0}^{2} (x^{3} + 4 x) d x

\int_{0}^{2} 2 4 - x^{2} d x

\int_{0}^{2} x 1 + 4 x^{2} d x

\int_{2}^{\infty} \frac{5}{4 + x ^{2}} d x

\int_{0}^{2} (x^{3})^{2} d x

What is the integral from-2 to 2 of x(x^2-9) ?
The integral from-2 to 2 of x(x^2-9) is 0