The aim of this study is to evaluate the integral of function f(x) = 3x^4 + 2x exp(x) + 1 over the interval [0,1]. The true value of this integral is 3.60. It will be used as a benchmark when comparing the methods.
The aim of this study is to find the global minimum / argmin of function f(x) = abs( x*exp(sin(x)^2) ) over the interval [-15,15]. It is clear that this function is rather complex because it has many local extrema as well as one global minimum over [-15,15]. The true value of this global minimum is x=0 where f(x=0) = 0. This will be used as a benchmark for simulation studies.
