Definite Integration Question 187

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

Options:

A) 1

B) 2

C) $ \pi $

D) $ 2\pi $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ A=\int\limits _{-\pi /2}^{\pi /2}{| \sin y |dy=2\int\limits_0^{\pi /2}{\sin ydy=2}} $