What is the integral from o to t of t ?

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

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integral from o to t of t

\int_{o}^{t} t d t

\frac{t ^{2} - o ^{2}}{2}

Solution steps

\int_{o}^{t} t d t

Apply the Power Rule

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

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

Compute the boundaries:

\frac{t ^{2}}{2} - \frac{o ^{2}}{2}

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

Simplify

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

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What is the integral from o to t of t ?
The integral from o to t of t is (t^2-o^2)/2