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

The integral of (sqrt(u))/u is 2sqrt(u)+C

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integral of (sqrt(u))/u

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

2 u + C

Solution steps

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

Simplify

\frac{u}{u} : \frac{1}{u}

= \int \frac{1}{u} d u

Apply the Power Rule

= 2 u^{\frac{1}{2}}

Apply radical rule:

a^{\frac{1}{n}} = n a

= 2 u

Add a constant to the solution

= 2 u + C

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