en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 2/(y^2)

Solution

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

Solution

- \frac{2}{y} + C

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

: - \frac{1}{y}

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

Simplify

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

= - \frac{2}{y}

Add a constant to the solution

= - \frac{2}{y} + C

Graph

Popular Examples

integral from-1 to 1 of 1.5x^2

\int_{- 1}^{1} 1.5 x^{2} d x

derivative of x^7+7x^2

\frac{d}{d x} (x^{7} + 7 x^{2})

integral of 1-1/2 x^4+1/24 x^8

\int 1 - \frac{1}{2} x^{4} + \frac{1}{24} x^{8} d x

limit as x approaches 0 of x(|x|)

x \to 0 lim (x (∣ x ∣))

tangent of f(x)= 6/(sqrt(x)),\at x=36 tangent of

f (x) = \frac{6}{x}, at x = 36

Frequently Asked Questions (FAQ)

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