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

Popular >

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{x ^{2}}{2}

= \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

t \to 1 lim (t^{\frac{1}{t - 1}})

\int (4 sin (x) + 5 cos (x)) d x

2 x^{3} + \frac{2}{x ^{3}}

\int \frac{1}{x ^{2} - 16} d x

\int \frac{3 x ^{2} + 4 x ^{3}}{x ^{3} + x ^{4}} d x

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