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

The integral from 2 to 5 of (sqrt(x)+5) is (10sqrt(5)-4sqrt(2))/3+15

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

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

\frac{10 5 - 4 2}{3} + 15

Decimal

20.56794 \dots

Solution steps

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

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int_{2}^{5} x d x = \frac{10 5 - 4 2}{3}

\int_{2}^{5} 5 d x = 15

= \frac{10 5 - 4 2}{3} + 15

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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 (10sqrt(5)-4sqrt(2))/3+15