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

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

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integral from 1 to-1 of x^3

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

0

Solution steps

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

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

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

Odd

= - 0

Simplify

= 0

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