en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 2 to 3 of (3-x)

Solution

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

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

\int_{2}^{3} 3 - x 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_{2}^{3} 3 d x - \int_{2}^{3} x d x

\int_{2}^{3} 3 d x = 3

\int_{2}^{3} x d x = \frac{5}{2}

= 3 - \frac{5}{2}

Simplify

3 - \frac{5}{2} : \frac{1}{2}

= \frac{1}{2}

Popular Examples

integral of p^5ln(p)

\int p^{5} ln (p) d p

(dy)/(dx)=(xy+2)/(x+1)

\frac{d y}{d x} = \frac{x y + 2}{x + 1}

d/(dt)(t-cos(t))

\frac{d}{d t} (t - cos (t))

limit as x approaches+2 of xsqrt(13-x^2)

x \to + 2 lim (x 13 - x^{2})

integral of 1+2/x

\int 1 + \frac{2}{x} d x

Frequently Asked Questions (FAQ)

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