What is the integral from 0 to y of t ?

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

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integral from 0 to y of t

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

\frac{y ^{2}}{2}

Solution steps

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

Apply the Power Rule

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

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

Compute the boundaries:

\frac{y ^{2}}{2}

= \frac{y ^{2}}{2}

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\int_{0}^{1} t^{2} e^{- t} d t

\int_{2}^{5} x ln (x + 2) d x

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