What is the integral from-3 to 3 of x^3-9x ?

The integral from-3 to 3 of x^3-9x is 0

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integral from-3 to 3 of x^3-9x

\int_{- 3}^{3} x^{3} - 9 x d x

0

Solution steps

\int_{- 3}^{3} x^{3} - 9 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^{3} - 9 x :

Odd

= 0

\int_{0}^{π} 4 e^{x} + 7 sin (x) d x

\int_{0}^{3} (9 - x^{2})^{3} d x

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

\int_{- 3}^{- 1} (x^{3} + 6 x^{2} + 9 x + 9) d x

\int_{0}^{\frac{π}{4}} cos (2 y) d y

What is the integral from-3 to 3 of x^3-9x ?
The integral from-3 to 3 of x^3-9x is 0