What is the integral from 4 to 9 of x^{3/2} ?

The integral from 4 to 9 of x^{3/2} is 422/5

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integral from 4 to 9 of x^{3/2}

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

\frac{422}{5}

Decimal

84.4

Solution steps

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

Apply the Power Rule

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

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

Compute the boundaries:

\frac{422}{5}

= \frac{422}{5}

\int_{0}^{e^{- z^{4}}} z d z

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

\int_{0}^{4} (2 x + x) d x

\int_{0}^{1} \frac{x}{( 1 + x ^{2} ) ^{2}} d x

\int_{1}^{2} x ln (2 x) d x

What is the integral from 4 to 9 of x^{3/2} ?
The integral from 4 to 9 of x^{3/2} is 422/5