definite-integral

Question: $\int_{0}^{\pi /4}{{}}(\cos x-\sin x)dx+\int_{\pi /4}^{5\pi /4}{{}}(\sin x-\cos x)dx + \int_{2\pi }^{\pi /4}{{}}(\cos x-\sin x)\,dx$ is equal to

1) $\sqrt{2}-2$

2) $2\sqrt{2}-2$

3) $3\sqrt{2}-2$

4) $4\sqrt{2}-2$

Solution:

Explanation: No Explanation

Fundamental definite integration Definite integration by substitution

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