Two integration test suites 

For some history of the two integration test suites see [1].
An implementation for SymPy can be found at github [2].
The results are listed at [3].

Running the test suites I found some examples which seem 
to need special attention by the developers:

[161] Timofeev
integrand : 1/(3*cos(x)**2 + 2)
antideriv : sqrt(10)*(x - atan(3*sin(x)*cos(x)/(3*cos(x)**2 + 2 + 
sqrt(10))))/10
integrator: ValueError: logarithm of a negative number

[164] Timofeev
integrand : (a**2 - 4*cos(x)**2)**(3/4)*sin(2*x)
antideriv : (a**2 - 4*cos(x)**2)**(7/4)/7
integrator: RuntimeError: maximum recursion depth exceeded while calling a 
Python object

[181] Timofeev
integrand : sec(x)**2*log(cos(x))
antideriv : -x + log(cos(x))*tan(x) + tan(x)
sympy     : Integral(sec(x)**2*log(cos(x)), x)
comment   : Unevaluated!
time      : 47 min

[1] http://luschny.de/math/quad/IntegralTestsSage.html
[2] https://github.com/PeterLuschny/CharlwoodTest
[3] http://luschny.de/math/quad/IntegralTestsSympy.html

Peter

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