What is the integral from 4 to b of x^5 ?

The integral from 4 to b of x^5 is (b^6)/6-2048/3

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integral from 4 to b of x^5

\int_{4}^{b} x^{5} d x

\frac{b ^{6}}{6} - \frac{2048}{3}

Solution steps

\int_{4}^{b} x^{5} d x

Apply the Power Rule

: [\frac{x ^{6}}{6}]_{4}^{b}

= [\frac{x ^{6}}{6}]_{4}^{b}

Compute the boundaries:

\frac{b ^{6}}{6} - \frac{2048}{3}

= \frac{b ^{6}}{6} - \frac{2048}{3}

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What is the integral from 4 to b of x^5 ?
The integral from 4 to b of x^5 is (b^6)/6-2048/3