What is the integral from-8 to 0 of sqrt(y+9) ?

The integral from-8 to 0 of sqrt(y+9) is 52/3

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integral from-8 to 0 of sqrt(y+9)

\int_{- 8}^{0} y + 9 d y

\frac{52}{3}

Decimal

17.33333 \dots

Solution steps

\int_{- 8}^{0} y + 9 d y

Apply u-substitution

: \int_{1}^{9} u d u

= \int_{1}^{9} u d u

Apply the Power Rule

: [\frac{2}{3} u^{\frac{3}{2}}]_{1}^{9}

= [\frac{2}{3} u^{\frac{3}{2}}]_{1}^{9}

Compute the boundaries:

\frac{52}{3}

= \frac{52}{3}

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What is the integral from-8 to 0 of sqrt(y+9) ?
The integral from-8 to 0 of sqrt(y+9) is 52/3