This is my sagews file:
> from sage.symbolic.integration.integral import definite_integral
>
> s=var('s')
>
> assume(s>0)
>
> definite_integral(x^(s - 1)/(e^x + 1),x,0,infinity)
>
>
And this is the output:
> ︡bbfc791c-0eef-452a-a333-34e484d0094c︡{"stderr":"Error in lines
>> 4-4\nTraceback (most recent call last):\n File
>> \"/projects/5f742b15-0f9e-46f6-8c85-bc0ed5f9fdfd/.sagemathcloud/sage_server.py\",
>>
>> line 879, in execute\n exec compile(block+'\\n', '', 'single') in
>> namespace, locals\n File \"\", line 1, in <module>\n File
>> \"sage/symbolic/function.pyx\", line 994, in
>> sage.symbolic.function.BuiltinFunction.__call__
>> (build/cythonized/sage/symbolic/function.cpp:10865)\n res =
>> super(BuiltinFunction, self).__call__(\n File
>> \"sage/symbolic/function.pyx\", line 502, in
>> sage.symbolic.function.Function.__call__
>> (build/cythonized/sage/symbolic/function.cpp:6801)\n res =
>> g_function_evalv(self._serial, vec, hold)\n File
>> \"sage/symbolic/function.pyx\", line 1065, in
>> sage.symbolic.function.BuiltinFunction._evalf_or_eval_
>> (build/cythonized/sage/symbolic/function.cpp:11522)\n return
>> self._eval0_(*args)\n File
>> \"/projects/sage/sage-6.7/local/lib/python2.7/site-packages/sage/symbolic/integration/integral.py\",
>>
>> line 176, in _eval_\n return integrator(*args)\n File
>> \"/projects/sage/sage-6.7/local/lib/python2.7/site-packages/sage/symbolic/integration/external.py\",
>>
>> line 23, in maxima_integrator\n result = maxima.sr_integral(expression,
>> v, a, b)\n File
>> \"/projects/sage/sage-6.7/local/lib/python2.7/site-packages/sage/interfaces/maxima_lib.py\",
>>
>> line 784, in sr_integral\n self._missing_assumption(s)\n File
>> \"/projects/sage/sage-6.7/local/lib/python2.7/site-packages/sage/interfaces/maxima_lib.py\",
>>
>> line 993, in _missing_assumption\n raise ValueError(outstr)\nValueError:
>> Computation failed since Maxima requested additional constraints; using the
>> 'assume' command before evaluation *may* help (example of legal syntax is
>> 'assume(s>0)', see `assume?` for more details)\nIs s an integer?\n"}︡
>
>
No more assumptions are required to integrate
<http://www.wolframalpha.com/input/?i=Integrate%5Bx%5E%28s+-+1%29%2F%28e%5Ex+%2B+1%29%2C+%7Bx%2C+0%2C+Infinity%7D%5D+>
.
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