When I run following code on cloud.sagemath.com I get two different results
for numerical and symbolic integration, I guess it is a bug.
var('t')
f=sin(t)*atan2(2*sin(t),1-2*cos(t))
version()
print "numeric integral: ", numerical_integral(f,0,pi)[0]
print "symbolic integral: ", integrate(f,(t,0,pi))
|t|'SageMath Version 6.10, Release Date: 2015-12-18'|numeric integral:
2.35619449019|symbolic integral: -5/4*pi
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