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JEE Math Practice Question

The area of the region enclosed by the curve $$f(x)=\max \{\sin x, \cos x\},-\pi \leq x \leq \pi$$ and the $$x$$-axis is

  1. A.$$2 \sqrt{2}(\sqrt{2}+1)$$
  2. B.4
  3. C.$$2(\sqrt{2}+1)$$
  4. D.$$4(\sqrt{2})$$

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