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

The integral from 2 to 5 of sqrt(x+5) is (20sqrt(10)-14sqrt(7))/3

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

\int_{2}^{5} x + 5 d x

\frac{20 10 - 14 7}{3}

Decimal Notation

8.73501 \dots

Solution steps

\int_{2}^{5} x + 5 d x

Apply u-substitution

: \int_{7}^{10} u d u

= \int_{7}^{10} u d u

Apply the Power Rule

: [\frac{2}{3} u^{\frac{3}{2}}]_{7}^{10}

= [\frac{2}{3} u^{\frac{3}{2}}]_{7}^{10}

Compute the boundaries:

\frac{20 10 - 14 7}{3}

= \frac{20 10 - 14 7}{3}

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What is the integral from 2 to 5 of sqrt(x+5) ?
The integral from 2 to 5 of sqrt(x+5) is (20sqrt(10)-14sqrt(7))/3