What is the integral from 1 to 2 of xsqrt(x) ?

The integral from 1 to 2 of xsqrt(x) is (8sqrt(2)-2)/5

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integral from 1 to 2 of xsqrt(x)

\int_{1}^{2} x x d x

\frac{8 2 - 2}{5}

Decimal

1.86274 \dots

Solution steps

\int_{1}^{2} x x d x

Simplify

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

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

Apply the Power Rule

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

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

Compute the boundaries:

\frac{8 2}{5} - \frac{2}{5}

= \frac{8 2}{5} - \frac{2}{5}

Simplify

= \frac{8 2 - 2}{5}

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\int_{0}^{6} 6 - x^{2} d x

\int_{0}^{8} x x + 1 d x

What is the integral from 1 to 2 of xsqrt(x) ?
The integral from 1 to 2 of xsqrt(x) is (8sqrt(2)-2)/5