What is the integral from 0 to 1 of y^{7/2} ?

The integral from 0 to 1 of y^{7/2} is 2/9

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integral from 0 to 1 of y^{7/2}

\int_{0}^{1} y^{\frac{7}{2}} d y

\frac{2}{9}

Decimal

0.22222 \dots

Solution steps

\int_{0}^{1} y^{\frac{7}{2}} d y

Apply the Power Rule

: [\frac{2}{9} y^{\frac{9}{2}}]_{0}^{1}

= [\frac{2}{9} y^{\frac{9}{2}}]_{0}^{1}

Compute the boundaries:

\frac{2}{9}

= \frac{2}{9}

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What is the integral from 0 to 1 of y^{7/2} ?
The integral from 0 to 1 of y^{7/2} is 2/9