What is the integral from-5 to 0 of sqrt(y+9) ?

The integral from-5 to 0 of sqrt(y+9) is 38/3

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integral from-5 to 0 of sqrt(y+9)

\int_{- 5}^{0} y + 9 d y

\frac{38}{3}

Decimal

12.66666 \dots

Solution steps

\int_{- 5}^{0} y + 9 d y

Apply u-substitution

= \int_{4}^{9} u d u

Apply the Power Rule

= [\frac{2}{3} u^{\frac{3}{2}}]_{4}^{9}

Compute the boundaries:

\frac{38}{3}

= \frac{38}{3}

What is the integral from-5 to 0 of sqrt(y+9) ?
The integral from-5 to 0 of sqrt(y+9) is 38/3