en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of (10x+2)

Solution

\int (10 x + 2) d x

Solution

5 x^{2} + 2 x + C

Solution steps

\int 10 x + 2 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 10 x d x + \int 2 d x

\int 10 x d x = 5 x^{2}

\int 2 d x = 2 x

= 5 x^{2} + 2 x

Add a constant to the solution

= 5 x^{2} + 2 x + C

Graph

Popular Examples

integral of cos((2x)/5)

integral of 1/(51-70x-25x^2)

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

integral of t^{3/2}(t^2-4t+17)

integral of (x+1)/(x^2(x-1)(x^2+1))

Frequently Asked Questions (FAQ)

What is the integral of (10x+2) ?
The integral of (10x+2) is 5x^2+2x+C