What is the integral from 0 to t/2 of t ?

The integral from 0 to t/2 of t is (t^2)/8

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integral from 0 to t/2 of t

\int_{0}^{\frac{t}{2}} t d t

\frac{t ^{2}}{8}

Solution steps

\int_{0}^{\frac{t}{2}} t d t

Apply the Power Rule

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

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

Compute the boundaries:

\frac{t ^{2}}{8}

= \frac{t ^{2}}{8}

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What is the integral from 0 to t/2 of t ?
The integral from 0 to t/2 of t is (t^2)/8