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

The integral from 0 to 2 of xsqrt(x) is (8sqrt(2))/5

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integral from 0 to 2 of xsqrt(x)

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

\frac{8 2}{5}

Decimal

2.26274 \dots

Solution steps

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

Simplify

x x : x^{\frac{3}{2}}

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

Apply the Power Rule

: [\frac{2}{5} x^{\frac{5}{2}}]_{0}^{2}

= [\frac{2}{5} x^{\frac{5}{2}}]_{0}^{2}

Compute the boundaries:

\frac{8 2}{5}

= \frac{8 2}{5}

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

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\int_{0}^{1} 5 (1 - x)^{4} d x

\int_{- 1}^{9} x^{\frac{1}{5}} - x d x

\int_{1}^{3} \frac{8}{x} d x

What is the integral from 0 to 2 of xsqrt(x) ?
The integral from 0 to 2 of xsqrt(x) is (8sqrt(2))/5