What is the integral from 0 to 3 of t^3 ?

The integral from 0 to 3 of t^3 is 81/4

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integral from 0 to 3 of t^3

\int_{0}^{3} t^{3} d t

\frac{81}{4}

Decimal

20.25

Solution steps

\int_{0}^{3} t^{3} d t

Apply the Power Rule

: [\frac{t ^{4}}{4}]_{0}^{3}

= [\frac{t ^{4}}{4}]_{0}^{3}

Compute the boundaries:

\frac{81}{4}

= \frac{81}{4}

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What is the integral from 0 to 3 of t^3 ?
The integral from 0 to 3 of t^3 is 81/4