The value of

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

The value of

\int_0^{2\pi}[\sin x+\cos x]\,dx

, where

[\cdot]

denotes the greatest integer function, is (1)

-\pi

(2)

\pi

(3)

-2\pi

(4) None of these