Definite Integration Question 74

Question: $ \int _{0}^{2\pi }{(\sin x+|\sin x|)dx=} $

[Karnataka CET 2003]

Options:

A) 0

B) 4

C) 8

D) 1

Show Answer

Answer:

Correct Answer: B

Solution:

$ \int_0^{\pi }{2\sin xdx+\int _{\pi }^{2\pi }{0.dx}} $

$ =2[-\cos x]_0^{\pi }+0 $

$ =-2(\cos \pi -\cos 0) $

$ =-2(-1-1)=4 $ .