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Draw the graph of f(x) sin^(-1)|sin x|+c...

Draw the graph of `f(x) sin^(-1)|sin x|+cos^(-1) (cos x)`. Find the range of the function. Find the points of non-differentiability. Also find the value of `int_(0)^(10pi)[sin^(-1)|sin x|+cos^(-1)(cos x)]` dx

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To solve the problem step by step, we will analyze the function \( f(x) = \sin^{-1} |\sin x| + \cos^{-1} (\cos x) \), draw its graph, find the range, identify points of non-differentiability, and evaluate the integral \( \int_{0}^{10\pi} f(x) \, dx \). ### Step 1: Understanding the Function The function is composed of two parts: 1. \( \sin^{-1} |\sin x| \) 2. \( \cos^{-1} (\cos x) \) ...
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