What is the integral from 0 to x of t ?

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

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integral from 0 to x of t

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

\frac{x ^{2}}{2}

Solution steps

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

Apply the Power Rule

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

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

Compute the boundaries:

\frac{x ^{2}}{2}

= \frac{x ^{2}}{2}

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