Re: [sympy] integration with the square root of a non-negative expressions

Oscar, Thanks again for your response and clarification, > If you want to do sqrt(P(x)) with P(x) polynomial of degree k then I > think you can have general solutions for k=1,2,3 and 4 (assuming P(x) > has no repeated roots). Sympy can do k=1 and should be able to do 2 > with a bit of help. For

Re: [sympy] integration with the square root of a non-negative expressions

On 15 February 2016 at 15:01, Andrew Corrigan wrote: > Thank you both for your replies. I'm not sure I follow the discussion to be > honest as to how it applies to my original problem. In particular: >>> >>> Distilling this down you want to compute the integral of the

Re: [sympy] integration with the square root of a non-negative expressions

Your are talking about reduction to elliptic integrals - https://en.wikipedia.org/wiki/Elliptic_integral I do not think that sympy can currently do this (it would be a great project)! On Mon, Feb 15, 2016 at 10:01 AM, Andrew Corrigan wrote: > Thank you both for

Re: [sympy] integration with the square root of a non-negative expressions

Thank you both for your replies. I'm not sure I follow the discussion to be honest as to how it applies to my original problem. In particular: > Distilling this down you want to compute the integral of the square >> root of a quadratic > > I'm not sure that is accurate. If you are just

Re: [sympy] integration with the square root of a non-negative expressions

It looks like it can do it if you complete the square manually. So we just need to have better support for doing this in the algorithm(s). In [7]: integrate(sqrt(((x + S(1)/2)**2 + S(3)/4)), x) Out[7]:

Re: [sympy] integration with the square root of a non-negative expressions

On 14 February 2016 at 15:17, Andrew Corrigan wrote: > I'm having trouble computing a definite integral involving the sqrt of a > non-negative expression, as implemented below (computing the length of a > quadratic line in 2D). It seems to fail. I've generally had

[sympy] integration with the square root of a non-negative expressions

I'm having trouble computing a definite integral involving the sqrt of a non-negative expression, as implemented below (computing the length of a quadratic line in 2D). It seems to fail. I've generally had success using sympy for integration, except for when a sqrt is present. If anyone has