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+5)

Solution

\int (10 x + 5) d x

Solution

5 x^{2} + 5 x + C

Solution steps

\int 10 x + 5 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 5 d x

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

\int 5 d x = 5 x

= 5 x^{2} + 5 x

Add a constant to the solution

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

Graph

Popular Examples

integral of x/(x^2+2x+17)

integral of ((-1)^{n+1}(x-7)^n)/n

integral of e^{-int}

integral of 9x*e^{3x}

integral of 1/x e^{x^2}

Frequently Asked Questions (FAQ)

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