What is the integral from 1 to 4 of sqrt(y) ?

The integral from 1 to 4 of sqrt(y) is 14/3

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integral from 1 to 4 of sqrt(y)

\int_{1}^{4} y d y

\frac{14}{3}

Decimal

4.66666 \dots

Solution steps

\int_{1}^{4} y d y

Apply the Power Rule

: [\frac{2}{3} y^{\frac{3}{2}}]_{1}^{4}

= [\frac{2}{3} y^{\frac{3}{2}}]_{1}^{4}

Compute the boundaries:

\frac{14}{3}

= \frac{14}{3}

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What is the integral from 1 to 4 of sqrt(y) ?
The integral from 1 to 4 of sqrt(y) is 14/3