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

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

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

-Log[Cos[a x]] + Log[Sin[a x]]
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              a
Time to compute: 0.01 second
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