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

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

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

            a   b x                a   b x
  Log[2 Cos[- + ---]]    Log[2 Sin[- + ---]]
            2    2                 2    2
-(-------------------) + -------------------
           b                      b
Time to compute: 0.01 second
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