What is the integral of u/(sqrt(u)) ?

The integral of u/(sqrt(u)) is 2/3 u^{3/2}+C

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integral of u/(sqrt(u))

\int \frac{u}{u} d u

\frac{2}{3} u^{\frac{3}{2}} + C

Solution steps

\int \frac{u}{u} d u

Simplify

\frac{u}{u} : u

= \int u d u

Apply the Power Rule

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

Add a constant to the solution

= \frac{2}{3} u^{\frac{3}{2}} + C

\frac{d y}{d x} + 4 y = 9

\frac{d}{d x} (\frac{x - 2}{9 x ^{2} e ^{x}})

a re a g (x) = x^{2}, [0, 1]

in v erse l a pl a ce \frac{60}{2 - 5 s}

d er i v a t i v e f (x) = x^{\frac{5}{2}}

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