What is the integral of x^{-5}sqrt(x) ?

The integral of x^{-5}sqrt(x) is -2/(7x^{7/2)}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^{-5}sqrt(x)

\int x^{- 5} x d x

- \frac{2}{7 x ^{\frac{7}{2}}} + C

Solution steps

\int x^{- 5} x d x

Simplify

x^{- 5} x : \frac{1}{x ^{\frac{9}{2}}}

= \int \frac{1}{x ^{\frac{9}{2}}} d x

Apply the Power Rule

: - \frac{2}{7 x ^{\frac{7}{2}}}

= - \frac{2}{7 x ^{\frac{7}{2}}}

Add a constant to the solution

= - \frac{2}{7 x ^{\frac{7}{2}}} + C

\int \frac{e ^{x + 1}}{x} d x

\int 6 x x - 4 d x

\int \frac{2 + 9 x}{1 + x ^{2}} d x

\int (1 + ln (x))^{2} d x

\int \frac{z}{e ^{8 z}} d z

What is the integral of x^{-5}sqrt(x) ?
The integral of x^{-5}sqrt(x) is -2/(7x^{7/2)}+C