#18085: Symbolic integration and SymPy
-------------------------+----------------------------
Reporter: kalvotom | Owner:
Type: defect | Status: new
Priority: minor | Milestone: sage-6.6
Component: symbolics | Keywords: sd66
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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The following integral cannot be evalueated by maxima:
{{{
sage: integrate(1/sqrt(1+x^3),x)
integrate(1/sqrt(x^3 + 1), x)
}}}
With 'sympy' algorithm the computation fails:
{{{
sage: integrate(1/sqrt(1+x^3),x,algorithm='sympy')
...
AttributeError: 'gamma' object has no attribute '_sage_'
}}}
However, SymPy can compute the integral and gives the result in terms of
gamma and hypergeometric functions:
{{{
>>> from sympy import *
>>> x = Symbol('x')
>>> integrate(1/sqrt(1+x**3), x)
x*gamma(1/3)*hyper((1/3, 1/2), (4/3,),
x**3*exp_polar(I*pi))/(3*gamma(4/3))
}}}
--
Ticket URL: <http://trac.sagemath.org/ticket/18085>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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