Updates:
Status: Accepted
Labels: Integration
Blockedon: 1393
Comment #1 on issue 2844 by asmeu...@gmail.com: integration of
1/sqrt(n-m*x^2)
http://code.google.com/p/sympy/issues/detail?id=2844
As a work around until this is fixed, you can manually apply the
substitution y=sqrt(m)*x:
In [45]: integrate(1/sqrt(3-y**2), y).subs(y, sqrt(2)*x)/sqrt(2)
Out[45]:
⎛ ___ ⎞
___ ⎜╲╱ 6 ⋅x⎟
╲╱ 2 ⋅asin⎜───────⎟
⎝ 3 ⎠
───────────────────
2
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