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 0 of (x+1)

Solution

\int_{- 1}^{0} (x + 1) d x

Solution

\frac{1}{2}

+1

Decimal

0.5

Solution steps

\int_{- 1}^{0} 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_{- 1}^{0} x d x + \int_{- 1}^{0} 1 d x

\int_{- 1}^{0} x d x = - \frac{1}{2}

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

= - \frac{1}{2} + 1

Simplify

- \frac{1}{2} + 1 : \frac{1}{2}

= \frac{1}{2}

Graph

Popular Examples

integral from-1 to 3 of 3+2x-x^2

\int_{- 1}^{3} 3 + 2 x - x^{2} d x

integral from 0 to pi/4 of 1/(cos^3(x))

\int_{0}^{\frac{π}{4}} \frac{1}{cos ^{3} ( x )} d x

integral from 1 to 2 of (x^2-2x+3)

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

integral from-1 to 1 of sin^3(x/(x^2+1))

\int_{- 1}^{1} sin^{3} (\frac{x}{x ^{2} + 1}) d x

integral from 0 to infinity of 1/(2x+1)

\int_{0}^{\infty} \frac{1}{2 x + 1} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 0 of (x+1) ?
The integral from-1 to 0 of (x+1) is 1/2