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

\int 2 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

integral of 7tsin^2(t)

\int 7 t sin^{2} (t) d t

(\partial)/(\partial y)(arctan(x/y))

\frac{\partial}{\partial y} (arctan (\frac{x}{y}))

(\partial)/(\partial y)(5arctan(x/y))

\frac{\partial}{\partial y} (5 arctan (\frac{x}{y}))

\frac{d y}{d x} = 8 y x

y^'=5xsqrt(3y+11),y(0)=3

y^{^{'}} = 5 x 3 y + 11, y (0) = 3

Frequently Asked Questions (FAQ)

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