[ww-bugs] Bug 3450: New: Antiderivative does not consider +C correctly

[bugzilla-daemon at webwork.maa.org]

http://bugs.webwork.maa.org/show_bug.cgi?id=3450

           Summary: Antiderivative does not consider +C correctly
           Product: Problem libraries
           Version: unspecified
          Platform: Macintosh
        OS/Version: Mac OS
            Status: NEW
          Severity: major
          Priority: P5
         Component: Library (OPL)
        AssignedTo: jj at asu.edu
        ReportedBy: abalogh at utpa.edu
        Web browser Firefox
           version:
    Browser version 40.03
            number:


WHFreeman/Rogawski_Calculus_Early_Transce\
ndentals_Second_Edition/7_Techniques_of_Integration/7.3_Trigonometric_Substitution/7.3.18.pg

The problems solution can be obtained as
3 x sqrt(2 + x^2) + 6 arcsinh(x/sqrt(2)) + C
and also as
3*x*sqrt(x^2+2)+6*ln(|sqrt(x^2+2)+x|)+C

Without +C they only differ in a constant.
WeBWorK accepts only the second formula using ANS($ans->cmp);

There is even a note stating
Note: Use C for an arbitrary constant, and be sure to absorb as much into C as
is possible.

I am not sure what it means, the solution WeBWorK accepts has value ln(sqrt(2))
at x=0 while the other has value zero.

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