Definite Integration Question 109
Question: The value of $ \int_0^{n\pi +v}{|\sin x|dx} $ is
[IIT 1994]
Options:
A) x $ 2n+1+\cos v $
B) $ 2n+1-\cos v $
C) $ 2n+1 $
D) $ 2n+\cos v $
Show Answer
Answer:
Correct Answer: B
Solution:
$ \int_0^{n\pi +v}{|\sin x|dx=\int_0^{n\pi }{|\sin x|dx+\int _{n\pi }^{n\pi +v}{|\sin x|dx}}} $
$ =2n+1-\cos v $ .