Could anyone tell me what I am doing wrong here?
sage: g(x,y) = ((x-y)/sqrt(1-(x-y)^2)/y)
sage: forget()
sage: var("alpha")
sage: assume(alpha>0)
sage: assume(alpha<1)
sage: assume(x>-1+alpha)
sage: *assume(x-alpha-1<0)*
sage: g(x,y).integral(y, alpha, x+1, algorithm="maxima")
And yet I still get the following error:
Traceback (most recent call last): assume(x>-1+alpha)
File "", line 1, in <module>
File "/tmp/tmpFNci6y/___code___.py", line 12, in <module>
g(x,y).integral(y, alpha, x+_sage_const_1 , algorithm="maxima")
File "expression.pyx", line 10049, in
sage.symbolic.expression.Expression.integral (sage/symbolic/expression.cpp:43320)
File
"/home/sage/sage-6.2/local/lib/python2.7/site-packages/sage/symbolic/integration/integral.py",
line 688, in integrate
return integrator(expression, v, a, b)
File
"/home/sage/sage-6.2/local/lib/python2.7/site-packages/sage/symbolic/integration/external.py",
line 21, in maxima_integrator
result = maxima.sr_integral(expression, v, a, b)
File
"/home/sage/sage-6.2/local/lib/python2.7/site-packages/sage/interfaces/maxima_lib.py",
line 745, in sr_integral
raise ValueError("Computation failed since Maxima requested additional constraints; using the
'assume' command before integral evaluation *may* help (example of legal syntax is 'assume(" +
s[4:k] +">0)', see `assume?` for more details)\n" + s)
ValueError: Computation failed since Maxima requested additional constraints;
using the 'assume' command before integral evaluation *may* help (example of legal
syntax is 'assume(x-alpha-1>0)', see `assume?` for more details)
*Is x-alpha-1 positive, negative, or zero?*
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