en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 4/(2x^2)

Solution

\int \frac{4}{2 x ^{2}} d x

Solution

- \frac{2}{x} + C

Solution steps

\int \frac{4}{2 x ^{2}} d x

Take the constant out:

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

= \frac{4}{2} \cdot \int \frac{1}{x ^{2}} d x

Simplify

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

Apply the Power Rule

: - \frac{1}{x}

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

Simplify

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

= - \frac{2}{x}

Add a constant to the solution

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

Popular Examples

integral of 1/(600+x)

\int \frac{1}{600 + x} d x

integral of ((-1)^{n+1}(x-5)^n)/(n5^n)

\int \frac{( - 1 ) ^{n + 1} ( x - 5 ) ^{n}}{n 5 ^{n}} d x

integral of (x^2)/(4x+24)

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

integral of 1/(cot(u))

\int \frac{1}{cot ( u )} d u

integral of 400(1+(2x)/(24+x^2))

\int 400 (1 + \frac{2 x}{24 + x ^{2}}) d x

Frequently Asked Questions (FAQ)

What is the integral of 4/(2x^2) ?
The integral of 4/(2x^2) is -2/x+C