The value of is equal to

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

Problem

The value of ∫−2π5πcot⁡−1(tan⁡x) dx\int_{-2\pi}^{5\pi}\cot^{-1}(\tan x)\,dx is equal to (1) 7π2\frac{7\pi}{2} (2) 7π22\frac{7\pi^2}{2} (3) 3π2\frac{3\pi}{2} (4) π2\pi^2

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