The area bounded by the curve between the lines

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

The area bounded by the curve f(x)=∣∣tan⁡x+cot⁡x∣−∣tan⁡x−cot⁡x∣∣f(x) = ||\tan x + \cot x| - |\tan x - \cot x|| between the lines x=0x = 0 , x=π2x = \frac{\pi}{2} and the X-axis is (1) log⁡4\log 4 (2) log⁡2\log \sqrt{2} (3) 2log⁡22\log 2 (4) 2log⁡2\sqrt{2} \log 2

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