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

The integral from 0 to b of x^3 is (b^4)/4

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integral from 0 to b of x^3

\int_{0}^{b} x^{3} d x

\frac{b ^{4}}{4}

Solution steps

\int_{0}^{b} x^{3} d x

Apply the Power Rule

: [\frac{x ^{4}}{4}]_{0}^{b}

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

Compute the boundaries:

\frac{b ^{4}}{4}

= \frac{b ^{4}}{4}

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What is the integral from 0 to b of x^3 ?
The integral from 0 to b of x^3 is (b^4)/4