What is the integral from 0 to t^{10 of}sqrt(u) ?

The integral from 0 to t^{10 of}sqrt(u) is (2t^{15})/3

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integral from 0 to t^{10 of}sqrt(u)

\int_{0}^{t^{10}} u d u

\frac{2 t ^{15}}{3}

Solution steps

\int_{0}^{t^{10}} u d u

Apply the Power Rule

: [\frac{2}{3} u^{\frac{3}{2}}]_{0}^{t^{10}}

= [\frac{2}{3} u^{\frac{3}{2}}]_{0}^{t^{10}}

Compute the boundaries:

\frac{2}{3} t^{15}

= \frac{2}{3} t^{15}

Simplify

= \frac{2 t ^{15}}{3}

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What is the integral from 0 to t^{10 of}sqrt(u) ?
The integral from 0 to t^{10 of}sqrt(u) is (2t^{15})/3