en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-1/7 x+1

Solution

\int - \frac{1}{7} x + 1 d x

Solution

- \frac{x ^{2}}{14} + x + C

Solution steps

\int - \frac{1}{7} x + 1 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 \frac{1}{7} x d x + \int 1 d x

\int \frac{1}{7} x d x = \frac{x ^{2}}{14}

\int 1 d x = x

= - \frac{x ^{2}}{14} + x

Add a constant to the solution

= - \frac{x ^{2}}{14} + x + C

Popular Examples

integral of 1/(sqrt(x^2+3/4))

\int \frac{1}{x ^{2} + \frac{3}{4}} d x

integral of 2e^tt

\int 2 e^{t} t d t

integral of (-6x+18)/((x^2+2x+4)^2)

\int \frac{- 6 x + 18}{( x ^{2} + 2 x + 4 ) ^{2}} d x

integral of-(60)/(x^2)

\int - \frac{60}{x ^{2}} d x

integral of x/((x^2-9)^5)

\int \frac{x}{( x ^{2} - 9 ) ^{5}} d x

Frequently Asked Questions (FAQ)

What is the integral of-1/7 x+1 ?
The integral of-1/7 x+1 is -(x^2)/(14)+x+C