What is the integral of 2/(sqrt(y)) ?

The integral of 2/(sqrt(y)) is 4sqrt(y)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of 2/(sqrt(y))

\int \frac{2}{y} d y

4 y + C

Solution steps

\int \frac{2}{y} d y

Take the constant out:

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

= 2 \cdot \int \frac{1}{y} d y

Apply the Power Rule

= 2 \cdot 2 y^{\frac{1}{2}}

Simplify

2 \cdot 2 y^{\frac{1}{2}} : 4 y

= 4 y

Add a constant to the solution

= 4 y + C