What is the integral from 0 to (3pi)/2 of 2|sin(x)| ?

The integral from 0 to (3pi)/2 of 2|sin(x)| is 6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

\int_{0}^{\frac{3 π}{2}} 2 ∣ sin (x) ∣ d x

6

Solution steps

\int_{0}^{\frac{3 π}{2}} 2 ∣ sin (x) ∣ d x

Eliminate Absolutes

= \int_{0}^{π} 2 sin (x) d x + \int_{π}^{\frac{3 π}{2}} 2 (- sin (x)) d x

\int_{0}^{π} 2 sin (x) d x = 4

\int_{π}^{\frac{3 π}{2}} 2 (- sin (x)) d x = 2

= 4 + 2

Simplify

= 6

\int e^{\frac{y}{3}} d y

\frac{x ^{2} - 4 x + 2}{x + 3}

x \to 1 lim (x^{2} - 1)

\int 3 x^{2} - 5 d x

\frac{e ^{1 - s}}{s ^{2} - 1}

What is the integral from 0 to (3pi)/2 of 2|sin(x)| ?
The integral from 0 to (3pi)/2 of 2|sin(x)| is 6