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2019-12-29 12:52:42 -0500 asked a question Partial fraction decomposition over reals

Hello. I'm trying to find partial fraction decomposition of 1/(x**2-2*b**2) I use f.partial_fraction(var), but I don't get the result.

How can I get an exact answer over the reals in general case?

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2018-10-26 10:02:46 -0500 commented question Indefinite integral is incorrect

@tmonteli, I use sage 8.1

2018-10-26 07:08:37 -0500 asked a question Indefinite integral is incorrect

indefinite_integral(sqrt(1+cos(x)**2), x).full_simplify() gives 1/6*sin(x)^3, which is incorrect.

2016-12-01 10:48:17 -0500 commented answer Sage incorrectly evaluates series

OK. Thank you.

2016-12-01 09:11:02 -0500 commented answer Sage incorrectly evaluates series

I've got ValueError: Mathematica cannot make sense of input sum(1/((2*x+1)^2-4)^2,x,0,Infinity, algorithm='mathematica')

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2016-12-01 03:02:43 -0500 asked a question Sage incorrectly evaluates series

It incorrectly evaluates $\displaystyle\sum_{n=0}^{\infty}\frac{1}{((2n+1)^2-4)^2}=\frac{\pi^2}{64}-\frac{1}{12}$, but correct answer is $\displaystyle\frac{\pi^2}{64}$

2016-12-01 03:02:43 -0500 asked a question Sage incorrectly evaluates series

It incorrectly evaluates $\displaystyle\sum_{n=0}^{\infty}\frac{1}{((2n+1)^2-4)^2}=\frac{\pi^2}{64}-\frac{1}{12}$, but correct answer is $\displaystyle\frac{\pi^2}{64}$