Consider the graphs of \(\sin x +\cos x\) and \(\sin x -\cos x\)

Let the area of a rectangle that encloses one of the areas formed between the curves be \(R\)

If the minimum of \(R\) be \(a+b\pi\), where \(a,b\) are positive integers, find \(a+b\)

This is part of the Sinusoidal, Cosinusoidal series

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