Hello, I want to get indefiniteIntegral of sqrt(x+sqrt(x)), But in Sage, I get nothing but integrate(sqrt(x + sqrt(x)), x).
sage: x = var('x')
sage: h = sqrt(x+sqrt(x))
sage: h.integral(x)
Is there a way to integrate this function?
With optional package fricas (installable with sage -i fricas), it does something:
sage: integrate(sqrt(x + sqrt(x)), x, algorithm='fricas')
1/12*(8*x + 2*sqrt(x) - 3)*sqrt(x + sqrt(x)) + 1/16*log(4*sqrt(x + sqrt(x))*(2*sqrt(x) + 1) + 8*x + 8*sqrt(x) + 1)
But indeed, maxima, sympy and giac have trouble with it:
sage: integrate(sqrt(x + sqrt(x)), x, algorithm='maxima')
integrate(sqrt(x + sqrt(x)), x)
sage: integrate(sqrt(x + sqrt(x)), x, algorithm='sympy')
integrate(sqrt(x + sqrt(x)), x)
sage: integrate(sqrt(x + sqrt(x)), x, algorithm='giac')
...
TypeError: An error occurred running a Giac command: ...
The problem with giac might be related to https://trac.sagemath.org/ticket/28913
It was not related to #28913, I created https://trac.sagemath.org/ticket/29966
Asked: 2020-04-21 06:31:32 +0100
Seen: 416 times
Last updated: Apr 21 '20
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