question_answer

    The area bounded by the curve\[y=si{{n}^{-1}}x\]and the line \[x=0,|y|=\frac{\pi }{2}\] is

A)  1                                            

B)  2

C)  \[\pi \]                                

D)  \[2\pi \]

Correct Answer: B

Solution :

                \[\therefore \]Required area\[=\int_{-\pi /2}^{\pi /2}{|\sin y|}\,dy\]                 \[=2\int_{0}^{\pi /2}{\sin y\,dy}\]                 \[=2\]