What is the integral of 5/(sqrt(x^3)) ?

The integral of 5/(sqrt(x^3)) is -(10)/(sqrt(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/(sqrt(x^3))

\int \frac{5}{x ^{3}} d x

- \frac{10}{x} + C

Solution steps

\int \frac{5}{x ^{3}} d x

Take the constant out:

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

= 5 \cdot \int \frac{1}{x ^{3}} d x

Apply exponent rule:

(a^{n})^{m} = a^{n \cdot m}

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

= 5 \cdot \int \frac{1}{x ^{\frac{3}{2}}} d x

Apply the Power Rule

: - \frac{2}{x}

= 5 (- \frac{2}{x})

Simplify

5 (- \frac{2}{x}) : - \frac{10}{x}

= - \frac{10}{x}

Add a constant to the solution

= - \frac{10}{x} + C

\int x 9 x + 4 d x

\int 9 x - x^{2} d x

\int (3 x - 2) (x + 3) d x

\int e^{- t} sin (2 t) d t

\int \frac{1}{( x )} d x

What is the integral of 5/(sqrt(x^3)) ?
The integral of 5/(sqrt(x^3)) is -(10)/(sqrt(x))+C