What is the integral from-1 to 1 of x^3-9x ?

The integral from-1 to 1 of x^3-9x is 0

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integral from-1 to 1 of x^3-9x

\int_{- 1}^{1} x^{3} - 9 x d x

0

Solution steps

\int_{- 1}^{1} 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_{- 1}^{2} 6 x^{2} d x

\int_{- 3}^{0} x e^{x} d x

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

\int_{0}^{\frac{1}{2}} (1 - x^{2})^{\frac{1}{2}} d x

\int_{0}^{2} 2 x^{3} - 2 d x

What is the integral from-1 to 1 of x^3-9x ?
The integral from-1 to 1 of x^3-9x is 0