I am trying to evaluate an integral numeraically like this
sage: s = integrate(t*sin(t)/(1+cos(t)^2), t, 0, pi)
sage: s.n(prec=100)
2.4674011002723395
sage: s.n(prec=1000)
2.4674011002723395
As you can see, increasing prec does not give me more precise result. Is there any way to get more digits ?
