What is the integral from 0 to 5 of (x+2)sqrt(x+4) ?

The integral from 0 to 5 of (x+2)sqrt(x+4) is 886/15

Popular >

integral from 0 to 5 of (x+2)sqrt(x+4)

\int_{0}^{5} (x + 2) x + 4 d x

\frac{886}{15}

Decimal Notation

59.06666 \dots

Solution steps

\int_{0}^{5} (x + 2) x + 4 d x

Apply Integration By Parts

: [\frac{2}{3} (x + 2) (x + 4)^{\frac{3}{2}} - \int \frac{2}{3} (x + 4)^{\frac{3}{2}} d x]_{0}^{5}

= [\frac{2}{3} (x + 2) (x + 4)^{\frac{3}{2}} - \int \frac{2}{3} (x + 4)^{\frac{3}{2}} d x]_{0}^{5}

\int \frac{2}{3} (x + 4)^{\frac{3}{2}} d x = \frac{4}{15} (x + 4)^{\frac{5}{2}}

= [\frac{2}{3} (x + 2) (x + 4)^{\frac{3}{2}} - \frac{4}{15} (x + 4)^{\frac{5}{2}}]_{0}^{5}

Compute the boundaries:

\frac{886}{15}

= \frac{886}{15}

\int_{\frac{1}{x}}^{x} \frac{x ^{2}}{y ^{2}} d y

\int_{0}^{2} x^{3} + 1 d x

\int_{100}^{200} 0.1 e^{- 0.002 x} d x

\int_{0}^{9 - z^{2} - y^{2}} z^{2} d z

\int_{1}^{6} \frac{ln ( x )}{x} d x

What is the integral from 0 to 5 of (x+2)sqrt(x+4) ?
The integral from 0 to 5 of (x+2)sqrt(x+4) is 886/15