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A: I am attaching image so that you understand each and every step.  

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A: I=∫ cot(2x)cot2(2x)-15I =-∫ -cot(2x)csc(2x)csc(2x)csc2(2x)-1-15 dxcsc(2x)=u-2 cot(2x)csc(2x) dx = du...

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A: Please see the below picture for detailed solution. 

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