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

l a pl a ce t r an s f or m 1 e^{4 t}

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

t an g e n t \frac{6 x}{x + 7}, at x = 1

\frac{\partial}{\partial y} (x e^{\frac{y}{x}})

d er i v a t i v e x^{2} - 2

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