en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of-1/(y^3)

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

Simplify

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 1/(T^2)

\int \frac{1}{T ^{2}} d T

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

\int x e^{- (\frac{x}{2})^{2}} d x

integral of 8/x-5e^x

\int \frac{8}{x} - 5 e^{x} d x

integral of ((-7)/x+e^{9x}+9/4)

\int (\frac{- 7}{x} + e^{9 x} + \frac{9}{4}) d x

integral of 2xcos(x^2+1)

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

Frequently Asked Questions (FAQ)

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