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(-Log[Cos[(3*x)/2]] + Log[Sin[(3*x)/2]])/3


Integrate[Csc[3*x], x] ==
(-Log[Cos[(3*x)/2]] + Log[Sin[(3*x)/2]])/3



Integrate[Csc[3 x], x] == 

         3 x             3 x
-Log[Cos[---]] + Log[Sin[---]]
          2               2
------------------------------
              3

Time to compute: < 0.01 second

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