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

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

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integral from-1 to 1 of (x^3-x)

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

0

Solution steps

\int_{- 1}^{1} x^{3} - 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} - x :

Odd

= 0

\int_{0}^{c} 9 e^{3 x} d x

\frac{\partial}{\partial x} (3 sin (2 x y))

x \to \infty lim (e^{8 x})

\frac{d}{d x} ((2 x^{3} + 9 x)^{5})

\int 12 x^{2} - 5 x + 4 d x

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