Definite Integration Question 19

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

Options:

A) 0

B) 1

C) 2

D) 4

Show Answer

Answer:

Correct Answer: D

Solution:

$ \int_0^{2\pi }{|\sin x|dx=\int_0^{\pi }{\sin xdx+\int _{\pi }^{2\pi }{-\sin xdx}}} $

$ =[-\cos x] _0^{\pi }+[\cos x] _{\pi }^{2\pi }=1+1+1+1=4 $ .