Dimitris
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2
issues of
Dimitris
The correct value of this integral is π, However Rubi gives 2π when the integrand has exponentials and π (correctly) when it is trigonometric. The antiderivative with exponentials has ExpIntegralEi[z]...
The n-th prime function of julia is actually really slow. For example in julia prime(10^7) runs in 14 seconds in my machine. There is a well known C++ library with...