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

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

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integral of x/(sqrt(u))

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

2 x u + C

Solution steps

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

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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

Apply the Power Rule

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

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

Apply radical rule:

= 2 x u

Add a constant to the solution

= 2 x u + C

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What is the integral of x/(sqrt(u)) ?
The integral of x/(sqrt(u)) is 2xsqrt(u)+C