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(-Log[Cos[(a*x)/2]] + Log[Sin[(a*x)/2]])/a


Integrate[Csc[a*x], x] ==
(-Log[Cos[(a*x)/2]] + Log[Sin[(a*x)/2]])/a



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

         a x             a x
-Log[Cos[---]] + Log[Sin[---]]
          2               2
------------------------------
              a

Time to compute: < 0.01 second

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