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Evaluate : ∫ (cos 4x + 1/(cot x – tan x)) dx

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Evaluate : ∫ (cos 4x + 1/(cot x – tan x)) dx

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∫ (cos 4x + 1/(cot x – tan x)) dx

= ∫ cos 2x sin2x dx 

= (1/2) ∫ 2cos 2x sin2x dx 

= (1/2) ∫ sin (4x) dx 

= – (1/8) cos(4x) + c

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