$\int\limits_0^{2π}[|\sin x|+|\cos x|]dx$, where [.] denotes the greatest integer function, is equal to:
Answer & explanation
Correct answer: option 2
|sin x| and |cos x| and add :

$⇒I=\int\limits_0^{2π}[|\sin x|+|\cos x|]dx=\int\limits_0^{2π}1.dx=2\pi$