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/(2u^2)

Solution

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

Solution

- \frac{1}{2 u} + C

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

Simplify

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

= - \frac{1}{2 u}

Add a constant to the solution

= - \frac{1}{2 u} + C

Graph

Popular Examples

integral of cos(2z)

integral of sqrt(x)(1+x)

integral of sin^2(4x)cos^5(4x)

integral of ((x^3))/4

integral of (e^{3x})/(e^{3x)-1}

Frequently Asked Questions (FAQ)

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