Status: New
Owner: ----
Labels: Type-Defect Priority-Medium

New issue 2219 by hector1...@gmail.com: Arbitrary constants in indefinite integration
http://code.google.com/p/sympy/issues/detail?id=2219

This is related Issue 1336 and Issue 1941.
These two issues are related to the solution of ODE but this one is related to the final answer of indefinite integrals
At the present sympy returns the following results.

    In [19]: integrate(1,x)
    Out[19]: x

But in more mathematical way it should be in following way -

    In [20]: integrate(1,x)
    Out[20]: c + x


And in more general cases -

    In [21]: integrate(1*y,x)
    Out[21]: f(y) + x*y
            where f(y) is arbitrary function of y.

I am working in simplified case but I have no idea how to extract information about the function f i.e. whether it is function of two or more variable.

Can anyone guide me on this?

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