What is the integral from-2 to 0 of-sqrt(x+2) ?

The integral from-2 to 0 of-sqrt(x+2) is -(4sqrt(2))/3

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integral from-2 to 0 of-sqrt(x+2)

\int_{- 2}^{0} - x + 2 d x

- \frac{4 2}{3}

Decimal

- 1.88561 \dots

Solution steps

\int_{- 2}^{0} - x + 2 d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - \int_{- 2}^{0} x + 2 d x

Apply u-substitution

: \int_{0}^{2} u d u

= - \int_{0}^{2} u d u

Apply the Power Rule

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

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

Compute the boundaries:

\frac{4 2}{3}

= - \frac{4 2}{3}

\int - 20 x^{- 5} d x

\frac{d y}{d x} = e^{y - x}

\frac{d}{d x} (x^{2} (x + 1))

\frac{d ^{2}}{d x ^{2}} (x ln (x))

- (0.1 x - 23)^{2}

What is the integral from-2 to 0 of-sqrt(x+2) ?
The integral from-2 to 0 of-sqrt(x+2) is -(4sqrt(2))/3