What is the integral from 4 to 9 of sqrt(x^3) ?

The integral from 4 to 9 of sqrt(x^3) is 422/5

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integral from 4 to 9 of sqrt(x^3)

\int_{4}^{9} x^{3} d x

\frac{422}{5}

Decimal

84.4

Solution steps

\int_{4}^{9} x^{3} d x

x^{3} = x^{\frac{3}{2}},

assuming

x \geq 0

= \int_{4}^{9} x^{\frac{3}{2}} d x

Apply the Power Rule

= [\frac{2}{5} x^{\frac{5}{2}}]_{4}^{9}

Compute the boundaries:

\frac{422}{5}

= \frac{422}{5}

What is the integral from 4 to 9 of sqrt(x^3) ?
The integral from 4 to 9 of sqrt(x^3) is 422/5