en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (10x+7)

Solution

\int (10 x + 7) d x

Solution

5 x^{2} + 7 x + C

Solution steps

\int 10 x + 7 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 7 d x

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

\int 7 d x = 7 x

= 5 x^{2} + 7 x

Add a constant to the solution

= 5 x^{2} + 7 x + C

Popular Examples

integral of 1/(2+cos(θ))

\int \frac{1}{2 + cos ( θ )} d θ

integral of 2x(1-x)

\int 2 x (1 - x) d x

integral of (x^2-16)/(x^2)

\int \frac{x ^{2} - 16}{x ^{2}} d x

integral of (3x^3-sqrt(2x-1))

\int (3 x^{3} - 2 x - 1) d x

integral of sqrt(x^2+3x)

\int x^{2} + 3 x d x

Frequently Asked Questions (FAQ)

What is the integral of (10x+7) ?
The integral of (10x+7) is 5x^2+7x+C