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


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



Integrate[a Csc[b - c x], x] == 

             b   c x               b   c x
   Log[2 Cos[- - ---]]   Log[2 Sin[- - ---]]
             2    2                2    2
a (------------------- - -------------------)
            c                     c

Time to compute: 0.02 second

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