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 4 of x^2|x-1|

Solution

\int_{- 2}^{4} x^{2} ∣ x - 1 ∣ d x

Solution

\frac{99}{2}

+1

Decimal

49.5

Solution steps

\int_{- 2}^{4} x^{2} ∣ x - 1 ∣ d x

Eliminate Absolutes

= \int_{- 2}^{1} x^{2} (- x + 1) d x + \int_{1}^{4} x^{2} (x - 1) d x

\int_{- 2}^{1} x^{2} (- x + 1) d x = \frac{27}{4}

\int_{1}^{4} x^{2} (x - 1) d x = \frac{171}{4}

= \frac{27}{4} + \frac{171}{4}

Simplify

\frac{27}{4} + \frac{171}{4} : \frac{99}{2}

= \frac{99}{2}

Graph

Popular Examples

integral from 1 to 9 of 5sqrt(u)

\int_{1}^{9} 5 u d u

integral from-5 to 4 of | 1/2 x|

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

integral from 5 to 10 of 1/x

\int_{5}^{10} \frac{1}{x} d x

integral from 0 to ln(2) of 1

\int_{0}^{l n (2)} 1

integral from-2 to 3 of (-2|x|)

\int_{- 2}^{3} (- 2 ∣ x ∣) d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 4 of x^2|x-1| ?
The integral from-2 to 4 of x^2|x-1| is 99/2