Integrate vs Romberg

[Marcelo Vanti]

Hi,
I would like to know the differences between the integrate and romberg functions at Prime. Is Integrate the same implemented in 50G? Because on my calculators, the results differ by the last decimal places.

[cdmackay]

For the example given in the Prime help [romberg(e^(x²),x,0,1)] I get the same numeric value as for int(), i.e. 1.46265174591

[parisse]

Romberg is Romberg algorithm, it differs from the default algorithm for integration (adaptative Gaussian quadrature).