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/(5y^2)

Solution

\int \frac{1}{5 y ^{2}} d y

Solution

- \frac{1}{5 y} + C

Solution steps

\int \frac{1}{5 y ^{2}} d y

Take the constant out:

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

= \frac{1}{5} \cdot \int \frac{1}{y ^{2}} d y

Apply the Power Rule

= \frac{1}{5} (- \frac{1}{y})

Simplify

\frac{1}{5} (- \frac{1}{y}) : - \frac{1}{5 y}

= - \frac{1}{5 y}

Add a constant to the solution

= - \frac{1}{5 y} + C

Graph

Popular Examples

integral of sin(-8x)

integral of e^{-3t}t

integral of (x^8+1)/(2x^4)

integral of (19x)/(sqrt(2x^2+6))

integral of ((x^3-4+x))/(x-2)

Frequently Asked Questions (FAQ)

What is the integral of 1/(5y^2) ?
The integral of 1/(5y^2) is -1/(5y)+C