What is the integral from 0 to 8 of 2sqrt(x)+3 ?

The integral from 0 to 8 of 2sqrt(x)+3 is (64sqrt(2))/3+24

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integral from 0 to 8 of 2sqrt(x)+3

\int_{0}^{8} 2 x + 3 d x

\frac{64 2}{3} + 24

Decimal

54.16988 \dots

Solution steps

\int_{0}^{8} 2 x + 3 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_{0}^{8} 2 x d x + \int_{0}^{8} 3 d x

\int_{0}^{8} 2 x d x = \frac{64 2}{3}

\int_{0}^{8} 3 d x = 24

= \frac{64 2}{3} + 24

What is the integral from 0 to 8 of 2sqrt(x)+3 ?
The integral from 0 to 8 of 2sqrt(x)+3 is (64sqrt(2))/3+24