What is the integral of x/(x^{-5/2)} ?

The integral of x/(x^{-5/2)} is 2/9 x^{9/2}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x/(x^{-5/2)}

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

\frac{2}{9} x^{\frac{9}{2}} + C

Solution steps

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

Simplify

\frac{x}{x ^{- \frac{5}{2}}} : x^{\frac{7}{2}}

= \int x^{\frac{7}{2}} d x

Apply the Power Rule

: \frac{2}{9} x^{\frac{9}{2}}

= \frac{2}{9} x^{\frac{9}{2}}

Add a constant to the solution

= \frac{2}{9} x^{\frac{9}{2}} + C

\int 3 x^{2} - 3 y^{2} d y

\frac{d}{d t} (t e^{(t)})

x \to - 1 lim (4 x^{3} - 3 x^{2} + 5)

x \to 0 = lim (\frac{sin ( 4 x )}{6})

x \to 6 + lim (\frac{cos ( \frac{5 π}{6} )}{ln ( 7 - x )})

What is the integral of x/(x^{-5/2)} ?
The integral of x/(x^{-5/2)} is 2/9 x^{9/2}+C