en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x-1

Solution

integral

x - 1

Solution

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

Solution steps

\int 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 x d x - \int 1 d x

\int x d x = \frac{x ^{2}}{2}

\int 1 d x = x

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

Add a constant to the solution

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

Graph

Popular Examples

integral of sinh^5(x)

\int sinh^{5} (x) d x

integral of (x^2-x^5+sqrt(x))/(x^5)

\int \frac{x ^{2} - x ^{5} + x}{x ^{5}} d x

integral of (3e^{3x})/(x+10)

\int \frac{3 e ^{3 x}}{x + 10} d x

integral of cos^5(3x)sin^3(3x)

\int cos^{5} (3 x) sin^{3} (3 x) d x

integral of e^{-3x}-3x

\int e^{- 3 x} - 3 x d x

Frequently Asked Questions (FAQ)

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