question_answer

The area bounded by the curve \[y=si{{n}^{-1}}x\] 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. \[A=\int\limits_{-\pi /2}^{\pi /2}{\left| \sin y \right|dy=2\int\limits_{0}^{\pi /2}{\sin ydy=2}}\]