Dear all,
while trying to integrate the complex function
(8*I*e^(I*t) - 24*I)*((e^(I*t) - 3)^7 + (1.52075e+14)*(e^(I*t) - 3)^6 +
(1.128e+27)*(e^(I*t) - 3)^5 + (1.35375e+38)*(e^(I*t) - 3)^4 -
(3.127e+50)*(e^(I*t) - 3)^3 - (2.929125e+60)*(e^(I*t) - 3)^2 +
(9.4875e+72)*e^(I*t) + 3.1375e+73)*e^(I*t)/((e^(I*t) - 3)^8 +
(1.738e+14)*(e^(I*t) - 3)^7 + (1.504e+27)*(e^(I*t) - 3)^6 +
(2.166e+38)*(e^(I*t) - 3)^5 - (6.254e+50)*(e^(I*t) - 3)^4 -
(7.811e+60)*(e^(I*t) - 3)^3 + (3.795e+73)*(e^(I*t) - 3)^2 +
(4.787e+74)*e^(I*t) - 2.061e+74)
on t\in[0,2*pi], I receive the following error:
Traceback (most recent call last):
File "<stdin>", line 1, in <module>
File "_sage_input_27.py", line 10, in <module>
exec compile(u'open("___code___.py","w").write("# -*- coding:
utf-8 -*-\\n" +
_support_.preparse_worksheet_cell(base64.b64decode("aW50ZWdyYXRlKHNpbXBsaWZ5KHIpLHQsMCwyKnBpKQ=="),globals())+"\\n");
execfile(os.path.abspath("___code___.py"))
File "", line 1, in <module>
File "/tmp/tmp0jyu00/___code___.py", line 3, in <module>
exec compile(u'integrate(simplify(r),t,_sage_const_0 ,_sage_const_2 *pi)
File "", line 1, in <module>
File
"/usr/local/sage_urs/local/lib/python2.6/site-packages/sage/misc/functional.py",
line 718, in integral
return x.integral(*args, **kwds)
File "expression.pyx", line 8372, in
sage.symbolic.expression.Expression.integral
(sage/symbolic/expression.cpp:31910)
File
"/usr/local/sage_urs/local/lib/python2.6/site-packages/sage/symbolic/integration/integral.py",
line 610, in integrate
return definite_integral(expression, v, a, b)
File "function.pyx", line 413, in
sage.symbolic.function.Function.__call__
(sage/symbolic/function.cpp:4574)
File
"/usr/local/sage_urs/local/lib/python2.6/site-packages/sage/symbolic/integration/integral.py",
line 174, in _eval_
return integrator(*args)
File
"/usr/local/sage_urs/local/lib/python2.6/site-packages/sage/symbolic/integration/external.py",
line 21, in maxima_integrator
result = maxima.sr_integral(expression, v, a, b)
File
"/usr/local/sage_urs/local/lib/python2.6/site-packages/sage/interfaces/maxima_lib.py",
line 688, in sr_integral
raise error
RuntimeError: ECL says: In function GCD, the value of the first argument is
1.3545000000021087e74
which is not of the expected type INTEGER
It is very cryptic to me what the greatest common divisor has to do
with integration. Can anybody explain it?
Thanks a lot in advance!
Regards,
Urs Hackstein
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