en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of-2y^{-3}

Solution

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

Solution

\frac{1}{y ^{2}} + C

Solution steps

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

Take the constant out:

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

= - 2 \cdot \int y^{- 3} d y

Apply the Power Rule

= - 2 (- \frac{1}{2 y ^{2}})

Simplify

- 2 (- \frac{1}{2 y ^{2}}) : \frac{1}{y ^{2}}

= \frac{1}{y ^{2}}

Add a constant to the solution

= \frac{1}{y ^{2}} + C

Graph

Popular Examples

limit as h approaches+0 of (10^h-1)/h

integral from 1 to 100 of (17)/(x^3)

derivative of xe^x-x^2e^x

derivative of-(2x/(4-x^2))

integral from 7 to 9 of (x^2+2x-2)

Frequently Asked Questions (FAQ)

What is the integral of-2y^{-3} ?
The integral of-2y^{-3} is 1/(y^2)+C