What is the integral of 1/(sqrt(u)) ?

The integral of 1/(sqrt(u)) is 2sqrt(u)+C

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integral of 1/(sqrt(u))

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

2 u + C

Solution steps

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

Apply the Power Rule

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

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

Apply radical rule:

= 2 u

Add a constant to the solution

= 2 u + C

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