What is the integral from 2 to x of t^5 ?

The integral from 2 to x of t^5 is (x^6)/6-32/3

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integral from 2 to x of t^5

\int_{2}^{x} t^{5} d t

\frac{x ^{6}}{6} - \frac{32}{3}

Solution steps

\int_{2}^{x} t^{5} d t

Apply the Power Rule

: [\frac{t ^{6}}{6}]_{2}^{x}

= [\frac{t ^{6}}{6}]_{2}^{x}

Compute the boundaries:

\frac{x ^{6}}{6} - \frac{32}{3}

= \frac{x ^{6}}{6} - \frac{32}{3}

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What is the integral from 2 to x of t^5 ?
The integral from 2 to x of t^5 is (x^6)/6-32/3