What is the integral from 0 to 16 of xsqrt(x) ?

The integral from 0 to 16 of xsqrt(x) is 2048/5

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integral from 0 to 16 of xsqrt(x)

\int_{0}^{16} x x d x

\frac{2048}{5}

Decimal

409.6

Solution steps

\int_{0}^{16} x x d x

Simplify

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

= \int_{0}^{16} x^{\frac{3}{2}} d x

Apply the Power Rule

= [\frac{2}{5} x^{\frac{5}{2}}]_{0}^{16}

Compute the boundaries:

\frac{2048}{5}

= \frac{2048}{5}

What is the integral from 0 to 16 of xsqrt(x) ?
The integral from 0 to 16 of xsqrt(x) is 2048/5