Area Between Curves with Multiple Intersections Practice Test

$\displaystyle \int_{0}^{2\pi}(\sin x-\cos x),dx$

$\displaystyle \int_{0}^{\pi/4}(\cos x-\sin x),dx+\int_{\pi/4}^{5\pi/4}(\sin x-\cos x),dx+\int_{5\pi/4}^{2\pi}(\cos x-\sin x),dx$

$\displaystyle \int_{0}^{2\pi}(\sin x+\cos x),dx$

$\displaystyle \int_{0}^{2\pi}\big|\sin x-\cos x\big|,dx$

$\displaystyle \int_{0}^{2\pi}(\cos x-\sin x),dx$