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Popular Calculus >

integral of usqrt(u)

Solution

\int u u d u

Solution

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

Solution steps

\int u u d u

Simplify

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

= \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

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Frequently Asked Questions (FAQ)

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