Updates:
Status: Started
Owner: ---
Comment #10 on issue 1001 by [email protected]: Failure with definite
integral of sqrt(R^2-x^2) and variations
http://code.google.com/p/sympy/issues/detail?id=1001
This indeed works now:
In [1]: var('R', positive=True)
Out[1]: R
In [2]: integrate(sqrt(R**2-x**2), x)
Out[2]:
2 ⎛x⎞ ⎽⎽⎽⎽⎽⎽⎽⎽⎽
R ⋅asin⎜─⎟ ╱ 2 2
⎝R⎠ x⋅╲╱ R - x
────────── + ──────────────
2 2
Moreover a test for the indefinite case was added when fixing 1304 (see
test_issue_1304 in test_integrals.py). I submitted a pull request with a
test for the definite case.
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