JEE Main & Advanced
Mathematics
Definite Integration
Question Bank
Self Evaluation Test - Application of Integrals
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. \[A=\int\limits_{-\pi /2}^{\pi /2}{\left| \sin y \right|dy=2\int\limits_{0}^{\pi /2}{\sin ydy=2}}\]