What is the integral from-2 to 2 of sqrt(x+4) ?

The integral from-2 to 2 of sqrt(x+4) is 4sqrt(6)-(4sqrt(2))/3

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integral from-2 to 2 of sqrt(x+4)

\int_{- 2}^{2} x + 4 d x

46 - \frac{4 2}{3}

Decimal

7.91234 \dots

Solution steps

\int_{- 2}^{2} x + 4 d x

Apply u-substitution

= \int_{2}^{6} u d u

Apply the Power Rule

= [\frac{2}{3} u^{\frac{3}{2}}]_{2}^{6}

Compute the boundaries:

46 - \frac{4 2}{3}

= 46 - \frac{4 2}{3}

What is the integral from-2 to 2 of sqrt(x+4) ?
The integral from-2 to 2 of sqrt(x+4) is 4sqrt(6)-(4sqrt(2))/3