What is the integral from-3 to 0 of sqrt(x+4) ?

The integral from-3 to 0 of sqrt(x+4) is 14/3

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integral from-3 to 0 of sqrt(x+4)

\int_{- 3}^{0} x + 4 d x

\frac{14}{3}

Decimal

4.66666 \dots

Solution steps

\int_{- 3}^{0} x + 4 d x

Apply u-substitution

= \int_{1}^{4} u d u

Apply the Power Rule

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

Compute the boundaries:

\frac{14}{3}

= \frac{14}{3}

What is the integral from-3 to 0 of sqrt(x+4) ?
The integral from-3 to 0 of sqrt(x+4) is 14/3