en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-1 to 1 of (x-y)

Solution

\int_{- 1}^{1} (x - y) d y

Solution

2 x

Solution steps

\int_{- 1}^{1} x - y d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 1}^{1} x d y - \int_{- 1}^{1} y d y

\int_{- 1}^{1} x d y = 2 x

\int_{- 1}^{1} y d y = 0

= 2 x - 0

Simplify

= 2 x

Popular Examples

integral from 1 to 2 of (x+2)/8

\int_{1}^{2} \frac{x + 2}{8} d x

integral from-3 to 3 of (2+sqrt(9-x^2))

\int_{- 3}^{3} (2 + 9 - x^{2}) d x

integral from 0 to 6 of 2piy(36-y^2)

\int_{0}^{6} 2 π y (36 - y^{2}) d y

integral from 2 to 4 of 4/x

\int_{2}^{4} \frac{4}{x} d x

integral from 0 to 1 of sech^2(5x)

\int_{0}^{1} sech^{2} (5 x) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of (x-y) ?
The integral from-1 to 1 of (x-y) is 2x