en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 2*x

Solution

\int 2 \cdot x d 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

limit as x approaches 0 of (sin(4x))/4

x \to 0 lim (\frac{sin ( 4 x )}{4})

tangent of y= 2/(x-2)tangent of

y = \frac{2}{x - 2}

integral of (1-2x)/(e^{-2x)}

\int \frac{1 - 2 x}{e ^{- 2 x}} d x

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

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

(dy)/(dx)=((x-4))/(y+3)

\frac{d y}{d x} = \frac{( x - 4 )}{y + 3}

Frequently Asked Questions (FAQ)

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