en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 5 of |x^2-x|

Solution

\int_{0}^{5} x^{2} - x d x

Solution

\frac{59}{2}

+1

Decimal

29.5

Solution steps

\int_{0}^{5} x^{2} - x d x

Eliminate Absolutes

= \int_{0}^{1} - x^{2} + x d x + \int_{1}^{5} x^{2} - x d x

\int_{0}^{1} - x^{2} + x d x = \frac{1}{6}

\int_{1}^{5} x^{2} - x d x = \frac{88}{3}

= \frac{1}{6} + \frac{88}{3}

Simplify

\frac{1}{6} + \frac{88}{3} : \frac{59}{2}

= \frac{59}{2}

Graph

Popular Examples

integral from 0 to 3 of (xe^{x^2})/3

\int_{0}^{3} \frac{x e ^{x^{2}}}{3} d x

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

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

integral from-9 to 0 of (1+sqrt(81-x^2))

\int_{- 9}^{0} (1 + 81 - x^{2}) d x

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

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

integral from-5 to 5 of 2x^3sqrt(3+x^2)

\int_{- 5}^{5} 2 x^{3} 3 + x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of |x^2-x| ?
The integral from 0 to 5 of |x^2-x| is 59/2