What is the integral from 4 to x of t^8 ?

The integral from 4 to x of t^8 is (x^9-262144)/9

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integral from 4 to x of t^8

\int_{4}^{x} t^{8} d t

\frac{x ^{9} - 262144}{9}

Solution steps

\int_{4}^{x} t^{8} d t

Apply the Power Rule

: [\frac{t ^{9}}{9}]_{4}^{x}

= [\frac{t ^{9}}{9}]_{4}^{x}

Compute the boundaries:

\frac{x ^{9}}{9} - \frac{262144}{9}

= \frac{x ^{9}}{9} - \frac{262144}{9}

Simplify

= \frac{x ^{9} - 262144}{9}

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What is the integral from 4 to x of t^8 ?
The integral from 4 to x of t^8 is (x^9-262144)/9