\[\int_{0}^{\pi /4}{{}}(\cos x-\sin x)dx+\int_{\pi /4}^{5\pi /4}{{}}(\sin x-\cos x)dx\] \[+\int_{2\pi }^{\pi /4}{{}}(\cos x-\sin x)\,dx\] is equal to [RPET 2000]

\[\int_{0}^{\pi /4}{{}}(\cos x-\sin x)dx+\int_{\pi /4}^{5\pi /4}{{}}(\

1.	\[\int_{0}^{\pi /4}{{}}(\cos x-\sin x)dx+\int_{\pi /4}^{5\pi /4}{{}}(\sin x-\cos x)dx\] \[+\int_{2\pi }^{\pi /4}{{}}(\cos x-\sin x)\,dx\] is equal to [RPET 2000]
A.	\[\sqrt{2}-2\]
B.	\[2\sqrt{2}-2\]
C.	\[3\sqrt{2}-2\]
D.	\[4\sqrt{2}-2\]
Answer» E.

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\[\int_{0}^{\pi /4}{{}}(\cos x-\sin x)dx+\int_{\pi /4}^{5\pi /4}{{}}(\sin x-\cos x)dx\] \[+\int_{2\pi }^{\pi /4}{{}}(\cos x-\sin x)\,dx\] is equal to [RPET 2000]

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