How to solve this absolute value equation – math.stackexchange.com

How to solve this absolute value equation – math.stackexchange.com

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I have the following integral $$\int_0^{\pi/2} |\sin x-\cos x|dx. $$It's a simple integral but when I try to solve the module I get stuck. I took $\sin x-\cos x>0$ and squaring this I found that ...

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