Evaluate : `int_(pi/3)^(pi/4)(tanx+cotx)^2dx`

Explanation

Let` I =\int_{\pi / 3}^{\pi / 4}(\tan x+\cot x)^{2} d x `


`=\int_{\pi / 3}^{\pi / 4}(\tan ^{2} x+2 \tan x \cot x+\cot ^{2} x) d x `



`=\int_{\pi / 3}^{\pi / 4}(\tan ^{2} x+2+\cot ^{2} x) d x `



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