Answering:   
   > Should CAS give same result for int( exp(I t)^p )   
   > vs. int( (cos(t)+I*sin(t))^p )?   
   Axel Vogt  wrote:   
   >   
   > In cases I 'can' I split integration to avoid branch cut problems.   
      
   Assuming that 'I' above means imaginary unit, both form are   
   equivalent in quite general sense.  AFAICS it is nicer to   
   express answer in terms of the same functions as input data,   
   that is use 'exp' in answer when input data contains 'exp'   
   and use 'sin' and 'cos' when input data is in terms of trigonometric   
   functions.   
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