en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3/(y^2)

Solution

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

Solution

- \frac{3}{y} + C

Solution steps

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

Take the constant out:

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

= 3 \cdot \int \frac{1}{y ^{2}} d y

Apply the Power Rule

: - \frac{1}{y}

= 3 (- \frac{1}{y})

Simplify

3 (- \frac{1}{y}) : - \frac{3}{y}

= - \frac{3}{y}

Add a constant to the solution

= - \frac{3}{y} + C

Graph

Popular Examples

integral of e^{(-ln(2)(t))/x}

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

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

\int \frac{x}{x ^{2} + 1} d x

derivative of-4x+2

\frac{d}{d x} (- 4 x + 2)

integral of 4-2y

\int 4 - 2 y d y

integral from-64 to 125 of 1/(\sqrt[3]{x)}

\int_{- 64}^{125} \frac{1}{3 x} d x

Frequently Asked Questions (FAQ)

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