en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral from 0 to 3 of (x-1)

Solution

\int_{0}^{3} (x - 1) d x

Solution

\frac{3}{2}

+1

Decimal

1.5

Solution steps

\int_{0}^{3} 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_{0}^{3} x d x - \int_{0}^{3} 1 d x

\int_{0}^{3} x d x = \frac{9}{2}

\int_{0}^{3} 1 d x = 3

= \frac{9}{2} - 3

Simplify

\frac{9}{2} - 3 : \frac{3}{2}

= \frac{3}{2}

Graph

Popular Examples

integral of (3x^39x^2-15)/(x^24x^4)

derivative of arcsin(3x+y)

derivative of ln(5x+3)

integral of 4e^{-x}(e^{-3x}+1)

derivative of (9x/(e^x))

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (x-1) ?
The integral from 0 to 3 of (x-1) is 3/2