What is the integral from 0 to y of x ?

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

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integral from 0 to y of x

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

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

Solution steps

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

Apply the Power Rule

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

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

Compute the boundaries:

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

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

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