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-(Csc[a*x]/a)

Integrate[Cot[a*x]*Csc[a*x], x] ==
-(Csc[a*x]/a) 

Integrate[Cot[a x] Csc[a x], x] == 

  Csc[a x]
-(--------)
     a
Time to compute: < 0.01 second
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