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

New issue 3827 by ondrej.c...@gmail.com: integrate(sqrt(x**2/((y - x)*(y + x))), x) showing some infinities
http://code.google.com/p/sympy/issues/detail?id=3827

In [1]: integrate(sqrt(x**2/((y - x)*(y + x))), x)
Out[1]:
⎧                             3/2
⎪                        ∞⋅ⅈ⋅x                             for y = -x
⎪
⎪                            3/2
⎪                         ∞⋅x                              for y = x
⎪
⎪                                   ____      ___________
⎨                              2   ╱  2      ╱     1
⎪                             y ⋅╲╱  x  ⋅   ╱  ─────────
⎪     ____      ___________                ╱      2    2
⎪    ╱  2      ╱     1                   ╲╱    - x  + y
⎪x⋅╲╱  x  ⋅   ╱  ─────────  - ───────────────────────────  otherwise
⎪            ╱      2    2                 x
⎪          ╲╱    - x  + y
⎩


The y=+/- x cases show infinity, which I think is not what we want.

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