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 1 of x^2|x|

Solution

\int_{- 2}^{1} x^{2} ∣ x ∣ d x

Solution

\frac{17}{4}

+1

Decimal

4.25

Solution steps

\int_{- 2}^{1} x^{2} ∣ x ∣ d x

Eliminate Absolutes

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

\int_{- 2}^{0} x^{2} (- x) d x = 4

\int_{0}^{1} x^{2} x d x = \frac{1}{4}

= 4 + \frac{1}{4}

Simplify

4 + \frac{1}{4} : \frac{17}{4}

= \frac{17}{4}

Graph

Popular Examples

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

\int_{- 2}^{3} (3 x^{2} - 5 x) d x

integral from 4 to 9 of 2x^{3/2}

\int_{4}^{9} 2 x^{\frac{3}{2}} d x

integral from 2 to 6 of x^2-2x-8

\int_{2}^{6} x^{2} - 2 x - 8 d x

integral from 1 to 16 of 5/4 x^{1/4}

\int_{1}^{16} \frac{5}{4} x^{\frac{1}{4}} d x

integral from 0 to 2 of 6x^5

\int_{0}^{2} 6 x^{5} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of x^2|x| ?
The integral from-2 to 1 of x^2|x| is 17/4