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Popular Calculus >

integral of u^{3/2}

Solution

\int u^{\frac{3}{2}} d u

Solution

\frac{2}{5} u^{\frac{5}{2}} + C

Solution steps

\int u^{\frac{3}{2}} d u

Apply the Power Rule

= \frac{2}{5} u^{\frac{5}{2}}

Add a constant to the solution

= \frac{2}{5} u^{\frac{5}{2}} + C

Graph

Popular Examples

integral of xcos^2(x)

limit as t approaches 0+of t(ln(t))^2

derivative of 3cos^2(x)

derivative of 2sin(x+cos(x))

Frequently Asked Questions (FAQ)

What is the integral of u^{3/2} ?
The integral of u^{3/2} is 2/5 u^{5/2}+C