What is the integral from 1 to x of x^4 ?

The integral from 1 to x of x^4 is (x^5-1)/5

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integral from 1 to x of x^4

\int_{1}^{x} x^{4} d x

\frac{x ^{5} - 1}{5}

Solution steps

\int_{1}^{x} x^{4} d x

Apply the Power Rule

: [\frac{x ^{5}}{5}]_{1}^{x}

= [\frac{x ^{5}}{5}]_{1}^{x}

Compute the boundaries:

\frac{x ^{5}}{5} - \frac{1}{5}

= \frac{x ^{5}}{5} - \frac{1}{5}

Simplify

= \frac{x ^{5} - 1}{5}

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What is the integral from 1 to x of x^4 ?
The integral from 1 to x of x^4 is (x^5-1)/5