What is the integral from 0 to t of x^5 ?

The integral from 0 to t of x^5 is (t^6)/6

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integral from 0 to t of x^5

\int_{0}^{t} x^{5} d x

\frac{t ^{6}}{6}

Solution steps

\int_{0}^{t} x^{5} d x

Apply the Power Rule

= [\frac{x ^{6}}{6}]_{0}^{t}

Compute the boundaries:

\frac{t ^{6}}{6}

= \frac{t ^{6}}{6}

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What is the integral from 0 to t of x^5 ?
The integral from 0 to t of x^5 is (t^6)/6