What is the integral from 0 to 1 of y^2y ?

The integral from 0 to 1 of y^2y is 1/4

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integral from 0 to 1 of y^2y

\int_{0}^{1} y^{2} y d y

\frac{1}{4}

Decimal

0.25

Solution steps

\int_{0}^{1} y^{2} y d y

Simplify

y^{2} y : y^{3}

= \int_{0}^{1} y^{3} d y

Apply the Power Rule

= [\frac{y ^{4}}{4}]_{0}^{1}

Compute the boundaries:

\frac{1}{4}

= \frac{1}{4}

What is the integral from 0 to 1 of y^2y ?
The integral from 0 to 1 of y^2y is 1/4