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

The integral from 0 to-1 of x^3 is 1/4

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integral from 0 to-1 of x^3

\int_{0}^{- 1} x^{3} d x

\frac{1}{4}

Decimal

0.25

Solution steps

\int_{0}^{- 1} x^{3} d x

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

= - \int_{- 1}^{0} x^{3} d x

Apply the Power Rule

= - [\frac{x ^{4}}{4}]_{- 1}^{0}

Compute the boundaries:

- \frac{1}{4}

= - (- \frac{1}{4})

Simplify

= \frac{1}{4}

What is the integral from 0 to-1 of x^3 ?
The integral from 0 to-1 of x^3 is 1/4