Hello   
      
   Maple finds MORE integrals if you use assumptions.   
      
   Example 1:   
      
   int(x^m/(b*x+a), x)   
      
   can't solve but using  assumptions:   
      
   `assuming`([int(x^m/(b*x+a), x)], [m::posint, m > 0, b > 0, a > 0])   
      
   = b^(-m-1)*a^m*(x^m*b^m*a^(-m)/m-x^m*b^m*a^(-m)*LerchPhi(-x*b/a, 1, m))   
      
      
   See:   
      
   http://12000.org/my_notes/CAS_integration_tests/reports/rubi_4_1   
   /test_cases/1_Algebraic_functions/1_Linear_products/1.2(a+bx)%5E   
   (c+dx)%5En/rese2.htm#x3-20002   
      
   from 671 to 685.   
      
      
   Thank you, Mariusz   
      
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