What is the integral from y^2 to y of y ?

The integral from y^2 to y of y is (y^2-y^4)/2

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integral from y^2 to y of y

\int_{y^{2}}^{y} y d y

\frac{y ^{2} - y ^{4}}{2}

Solution steps

\int_{y^{2}}^{y} y d y

Apply the Power Rule

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

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

Compute the boundaries:

\frac{y ^{2}}{2} - \frac{y ^{4}}{2}

= \frac{y ^{2}}{2} - \frac{y ^{4}}{2}

Simplify

= \frac{y ^{2} - y ^{4}}{2}

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What is the integral from y^2 to y of y ?
The integral from y^2 to y of y is (y^2-y^4)/2