en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 2x

Solution

integral

2 x

Solution

x^{2} + C

Solution steps

\int 2 x d x

Take the constant out:

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

= 2 \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= 2 \cdot \frac{x ^{2}}{2}

Simplify

2 \cdot \frac{x ^{2}}{2} : x^{2}

= x^{2}

Add a constant to the solution

= x^{2} + C

Popular Examples

integral of (4x)/((2x^2+5)^4)

\int \frac{4 x}{( 2 x ^{2} + 5 ) ^{4}} d x

integral of (x^2)/(5-x^6)

\int \frac{x ^{2}}{5 - x ^{6}} d x

integral of (1+tan(x))/(1-cos(x))

\int \frac{1 + tan ( x )}{1 - cos ( x )} d x

integral of e^{-x}sin^2(2x)

\int e^{- x} sin^{2} (2 x) d x

integral of (8/x-5/(x^2)+6/(x^3))

\int (\frac{8}{x} - \frac{5}{x ^{2}} + \frac{6}{x ^{3}}) d x

Frequently Asked Questions (FAQ)

What is the integral of 2x ?
The integral of 2x is x^2+C