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

The integral from 0 to 4 of (2+xsqrt(x)) is 104/5

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integral from 0 to 4 of (2+xsqrt(x))

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

\frac{104}{5}

Decimal Notation

20.8

Solution steps

\int_{0}^{4} 2 + x x 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}^{4} 2 d x + \int_{0}^{4} x x d x

\int_{0}^{4} 2 d x = 8

\int_{0}^{4} x x d x = \frac{64}{5}

= 8 + \frac{64}{5}

Simplify

8 + \frac{64}{5} : \frac{104}{5}

= \frac{104}{5}

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What is the integral from 0 to 4 of (2+xsqrt(x)) ?
The integral from 0 to 4 of (2+xsqrt(x)) is 104/5