What is the integral from 2 to x of t^4 ?

The integral from 2 to x of t^4 is (x^5-32)/5

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integral from 2 to x of t^4

\int_{2}^{x} t^{4} d t

\frac{x ^{5} - 32}{5}

Solution steps

\int_{2}^{x} t^{4} d t

Apply the Power Rule

: [\frac{t ^{5}}{5}]_{2}^{x}

= [\frac{t ^{5}}{5}]_{2}^{x}

Compute the boundaries:

\frac{x ^{5}}{5} - \frac{32}{5}

= \frac{x ^{5}}{5} - \frac{32}{5}

Simplify

= \frac{x ^{5} - 32}{5}

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What is the integral from 2 to x of t^4 ?
The integral from 2 to x of t^4 is (x^5-32)/5