What is the integral from-2 to 2 of sqrt(x+2) ?

The integral from-2 to 2 of sqrt(x+2) is 16/3

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integral from-2 to 2 of sqrt(x+2)

\int_{- 2}^{2} x + 2 d x

\frac{16}{3}

Decimal

5.33333 \dots

Solution steps

\int_{- 2}^{2} x + 2 d x

Apply u-substitution

= \int_{0}^{4} u d u

Apply the Power Rule

= [\frac{2}{3} u^{\frac{3}{2}}]_{0}^{4}

Compute the boundaries:

\frac{16}{3}

= \frac{16}{3}

What is the integral from-2 to 2 of sqrt(x+2) ?
The integral from-2 to 2 of sqrt(x+2) is 16/3