en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of-x-1

Solution

\int - x - 1 d x

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 from 0 to 2 of 3-x^3

(\partial)/(\partial r)(cos(r))

integral of (6x)/((x^2+5)^2)

integral from 0 to pi/4 of sin(2x)

Frequently Asked Questions (FAQ)

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