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

derivative of ln(xcsc(x))

\frac{d}{d x} (ln (x) csc (x))

y^'=-5sin(3t)+2cos(4t)

y^{^{'}} = - 5 sin (3 t) + 2 cos (4 t)

limit as x approaches 0 of 1/(sin(5x))

x \to 0 lim (\frac{1}{sin ( 5 x )})

area y=-x^2+16,x=-2,y=0,x=3 area

y = - x^{2} + 16, x = - 2, y = 0, x = 3

limit as x approaches 4+of 4/(x-4)

x \to 4 + lim (\frac{4}{x - 4})

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