en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral from-1 to 1 of |x|sin(x)

Solution

\int_{- 1}^{1} ∣ x ∣ sin (x) d x

Solution

0

Solution steps

\int_{- 1}^{1} ∣ x ∣ sin (x) d x

Eliminate Absolutes

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

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

\int_{0}^{1} x sin (x) d x = sin (1) - cos (1)

= - sin (1) + cos (1) + sin (1) - cos (1)

Simplify

= 0

Graph

Popular Examples

integral from 0 to pi/2 of xsin(3x)

integral from 0 to 4pi of |sin(x)|

integral from 0 to 2 of sqrt(4t^2+1)

integral from x to 3 of 1

integral from 0 to 2 of (2x^2-4x)

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of |x|sin(x) ?
The integral from-1 to 1 of |x|sin(x) is 0