integral - w3toppers.com

What causes this error (AttributeError: ‘Mul’ object has no attribute ‘cos’) in Python?

Your problem is with namespace clash, here from sympy import * from numpy import * Since both numpy and and sympy have their own definition of cos. The error is telling you that the Mul object (which is n*x) does not have a cosine method, since the interpreter is now confused between the sympy and … Read more

double integral in R

Let me start with the code and then step through to explain it. InnerFunc = function(x) { x + 0.805 } InnerIntegral = function(y) { sapply(y, function(z) { integrate(InnerFunc, 15, z)$value }) } integrate(InnerIntegral , 15, 50) 16826.4 with absolute error < 1.9e-10 The first line is very easy. We just need the function f(x) … Read more

calculating double integrals in R quickly

The cubature package does 2D (and N-D) integration using an adaptive algorithm. It should outperform simpler approaches for most integrands.