What is the integral from 0 to (3pi)/2 of 4|sin(x)| ?

The integral from 0 to (3pi)/2 of 4|sin(x)| is 12

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 4|sin(x)|

\int_{0}^{\frac{3 π}{2}} 4 ∣ sin (x) ∣ d x

12

Solution steps

\int_{0}^{\frac{3 π}{2}} 4 ∣ sin (x) ∣ d x

Eliminate Absolutes

= \int_{0}^{π} 4 sin (x) d x + \int_{π}^{\frac{3 π}{2}} 4 (- sin (x)) d x

\int_{0}^{π} 4 sin (x) d x = 8

\int_{π}^{\frac{3 π}{2}} 4 (- sin (x)) d x = 4

= 8 + 4

Simplify

= 12

f (x) = x^{2} e^{- 3 x}

\frac{d}{d x} (x + 7 x - 3)

3 y^{^{'}} + y = 0, y^{^{'}} (0) = 0

\frac{( e ^{2 x} - 1 )}{x}

\int - x^{3} d x

What is the integral from 0 to (3pi)/2 of 4|sin(x)| ?
The integral from 0 to (3pi)/2 of 4|sin(x)| is 12