question_answer

The area bounded by the curve y = sin x and the line x = 0, \[\left| y \right|=\frac{\pi }{2}\] is

A) 1         

B) 2

C) \[\pi \]   

D) 2\[\pi \]

Correct Answer: B

Solution :

[b] The required area is shown by shaded portion in the figure. The required area is \[A=\int\limits_{-\pi /2}^{\pi /2}{\left| \sin y \right|dy=2\int\limits_{0}^{\pi /2}{\sin ydy=2}}\]