What is the integral from 0 to 4 of x^{3/2} ?

The integral from 0 to 4 of x^{3/2} is 64/5

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integral from 0 to 4 of x^{3/2}

\int_{0}^{4} x^{\frac{3}{2}} d x

\frac{64}{5}

Decimal

12.8

Solution steps

\int_{0}^{4} x^{\frac{3}{2}} d x

Apply the Power Rule

: [\frac{2}{5} x^{\frac{5}{2}}]_{0}^{4}

= [\frac{2}{5} x^{\frac{5}{2}}]_{0}^{4}

Compute the boundaries:

\frac{64}{5}

= \frac{64}{5}

\int_{1}^{5} \frac{5}{x} - \frac{3}{x ^{2}} d x

x \to - 2 lim (- x^{2} + 8 x - 7)

\int_{c}^{x} g (x) d x

\int_{2}^{4} (x^{3} - 6 x^{2} + 8 x) d x

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

What is the integral from 0 to 4 of x^{3/2} ?
The integral from 0 to 4 of x^{3/2} is 64/5