What is the integral of (-5)/(2sqrt(x)) ?

The integral of (-5)/(2sqrt(x)) is -5sqrt(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (-5)/(2sqrt(x))

\int \frac{- 5}{2 x} d x

- 5 x + C

Solution steps

\int \frac{- 5}{2 x} d x

Take the constant out:

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

= \frac{- 5}{2} \cdot \int \frac{1}{x} d x

Simplify

= (- \frac{5}{2}) \cdot \int \frac{1}{x} d x

Apply the Power Rule

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

= (- \frac{5}{2}) \cdot 2 x^{\frac{1}{2}}

Simplify

(- \frac{5}{2}) \cdot 2 x^{\frac{1}{2}} : - 5 x

= - 5 x

Add a constant to the solution

= - 5 x + C

\int \frac{x ^{2}}{( 49 + x ^{2} ) ^{2}} d x

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

\int \frac{cot ( x ) + csc ( x )}{sin ( x )} d x

\int (2 e^{x} + \frac{6}{x} + ln (2)) d x

What is the integral of (-5)/(2sqrt(x)) ?
The integral of (-5)/(2sqrt(x)) is -5sqrt(x)+C