What is the integral of (2x)/(sqrt(u)) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of (2x)/(sqrt(u))

\int \frac{2 x}{u}

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

Solution steps

\int \frac{2 x}{u} d x

Take the constant out:

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

= \frac{2}{u} \cdot \int x d x

Apply the Power Rule

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

Simplify

\frac{2}{u} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{u}

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

Add a constant to the solution

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

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