What is the integral from 0 to t of t ?

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

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integral from 0 to t of t

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

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

Solution steps

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

Apply the Power Rule

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

= [\frac{t ^{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 t ?
The integral from 0 to t of t is (t^2)/2