en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of x^{-5/2}

Solution

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

Solution

- \frac{2}{3 x ^{\frac{3}{2}}} + C

Solution steps

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

Apply the Power Rule

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

Add a constant to the solution

= - \frac{2}{3 x ^{\frac{3}{2}}} + C

Graph

Popular Examples

inverse oflaplace (2-3s)/(s^2-3)

in v erse l a pl a ce \frac{2 - 3 s}{s ^{2} - 3}

area y=(|x-2|)^3,y=8-4x

a re a y = (∣ x - 2 ∣)^{3}, y = 8 - 4 x

limit as x approaches 0 of ((2^x-1))/x

x \to 0 lim (\frac{( 2 ^{x} - 1 )}{x})

integral of 1/(y^2-y^3)

\int \frac{1}{y ^{2} - y ^{3}} d y

integral of x^3((2x^2+1)/x)

\int x^{3} (\frac{2 x ^{2} + 1}{x}) d x

Frequently Asked Questions (FAQ)

What is the integral of x^{-5/2} ?
The integral of x^{-5/2} is -2/(3x^{3/2)}+C