What is the integral of 4/(sqrt(x)) ?

The integral of 4/(sqrt(x)) is 8sqrt(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 4/(sqrt(x))

\int \frac{4}{x} d x

8 x + C

Solution steps

\int \frac{4}{x} d x

Take the constant out:

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

= 4 \cdot \int \frac{1}{x} d x

Apply the Power Rule

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

= 4 \cdot 2 x^{\frac{1}{2}}

Simplify

4 \cdot 2 x^{\frac{1}{2}} : 8 x

= 8 x

Add a constant to the solution

= 8 x + C

\frac{d ^{2}}{d x ^{2}} (f (x) g (x))

\int cos (2 x) sin (2 x) d x

\frac{d r}{d s} = 0.75 r

\int_{0}^{π} 9 cos^{6} (x) d x

\int sin (x^{2} - 1) d x