Comment #7 on issue 1020 by ondrej.c...@gmail.com: integrate(sqrt(y**2 - x**2)/x, x) can't do it
http://code.google.com/p/sympy/issues/detail?id=1020
Indeed, the current master shows: In [1]: integrate(sqrt(y**2 - x**2)/x, x) Out[1]: ⎧ 2 │ 2│ ⎪ x ⎛y⎞ y │y │ ⎪- ─────────────── - y⋅acosh⎜─⎟ + ───────────────── for │──│ > 1 ⎪ _________ ⎝x⎠ _________ │ 2│ ⎪ ╱ 2 ╱ 2 │x │ ⎪ ╱ y ╱ y ⎪ ╱ -1 + ── x⋅ ╱ -1 + ── ⎪ ╱ 2 ╱ 2 ⎪ ╲╱ x ╲╱ x ⎨ ⎪ 2 ⎪ ⅈ⋅x ⎛y⎞ ⅈ⋅y ⎪ ────────────── + ⅈ⋅y⋅asin⎜─⎟ - ──────────────── otherwise ⎪ ________ ⎝x⎠ ________ ⎪ ╱ 2 ╱ 2 ⎪ ╱ y ╱ y ⎪ ╱ 1 - ── x⋅ ╱ 1 - ── ⎪ ╱ 2 ╱ 2 ⎩ ╲╱ x ╲╱ x So I think that's satisfactory. -- You received this message because you are subscribed to the Google Groups "sympy-issues" group. To post to this group, send email to sympy-issues@googlegroups.com. To unsubscribe from this group, send email to sympy-issues+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/sympy-issues?hl=en.
