What is the integral from 1 to 3 of xsqrt(x) ?

The integral from 1 to 3 of xsqrt(x) is (18sqrt(3)-2)/5

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integral from 1 to 3 of xsqrt(x)

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

\frac{18 3 - 2}{5}

Decimal

5.83538 \dots

Solution steps

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

Simplify

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

= \int_{1}^{3} x^{\frac{3}{2}} d x

Apply the Power Rule

= [\frac{2}{5} x^{\frac{5}{2}}]_{1}^{3}

Compute the boundaries:

\frac{18 3}{5} - \frac{2}{5}

= \frac{18 3}{5} - \frac{2}{5}

Simplify

= \frac{18 3 - 2}{5}

What is the integral from 1 to 3 of xsqrt(x) ?
The integral from 1 to 3 of xsqrt(x) is (18sqrt(3)-2)/5