What is the integral from 0 to t of s ?

The integral from 0 to t of s is (t^2)/2

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integral from 0 to t of s

\int_{0}^{t} s d s

\frac{t ^{2}}{2}

Solution steps

\int_{0}^{t} s d s

Apply the Power Rule

: [\frac{s ^{2}}{2}]_{0}^{t}

= [\frac{s ^{2}}{2}]_{0}^{t}

Compute the boundaries:

\frac{t ^{2}}{2}

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

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What is the integral from 0 to t of s ?
The integral from 0 to t of s is (t^2)/2