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

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

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

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

0

Solution steps

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

Odd

= 0

\int_{3}^{5} (4 x^{3} + 5) d x

\int_{\frac{1}{4}}^{\frac{1}{2}} (\frac{π}{x ^{2}}) d x

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

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

\int_{1}^{4} (x - 3) d x

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