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 |1-x|

Solution

\int_{2}^{3} ∣ 1 - x ∣ d x

Solution

\frac{3}{2}

+1

Decimal

1.5

Solution steps

\int_{2}^{3} ∣ 1 - x ∣ d x

Eliminate Absolutes

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

\int_{2}^{3} 1 d x = 1

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

= - 1 + \frac{5}{2}

Simplify

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

= \frac{3}{2}

Graph

Popular Examples

integral from 0 to infinity of 1e^{-x}

\int_{0}^{\infty} 1 e^{- x} d x

integral from 0 to 2pi of-cos(x)sin^2(x)

\int_{0}^{2 π} - cos (x) sin^{2} (x) d x

integral from 0 to x of 1-x

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

integral from 2 to 4 of (m^2)/(m+1)

\int_{2}^{4} \frac{m ^{2}}{m + 1} d m

integral from-1 to 5 of 4x-x^2+5

\int_{- 1}^{5} 4 x - x^{2} + 5 d x

Frequently Asked Questions (FAQ)

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