Comment #8 on issue 1892 by [email protected]: integrate(1/(x*(a+b*x)**3),
x) fails
http://code.google.com/p/sympy/issues/detail?id=1892
It works in master:
In [2]: var('a,b')
Out[2]: (a, b)
In [3]: integrate(1/(x*(a+b*x)**3), x)
Out[3]:
⎛ a⎞
- log⎜x + ─⎟ + log(x)
⎝ b⎠ 3⋅a + 2⋅b⋅x
───────────────────── + ────────────────────────────
3 2 2 2 3 4
a 2⋅a ⋅b ⋅x + 4⋅b⋅x⋅a + 2⋅a
In [4]: factor(_.diff(x))
Out[4]:
1
────────────
3
x⋅(a + b⋅x)
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