Integration of a piecewise multivariable function
3 vues (au cours des 30 derniers jours)
Afficher commentaires plus anciens
I have a function I need to integrate. The function is a product of 2 functions, one a function in x and the the other a piecewise function in t and x. The piecewise function is something like for rho(x) (where rho is some function) < t, f(x,t) = 0, for rho(x)<t<2rho(x), f(t,x) = rho(x) - t, and for t>2rho, f(t,x) = -rho(x). I want to integrate with respect to x with bounds of Inf and -Inf (100 would do a good enough job as infinity for my purposes so I can just use that). I know the integral is not analytic, but I do know that I should get back a piecewise function in t. I cannot seem to figure it out. Anyone have any tips?
3 commentaires
Paul
le 31 Juil 2021
Modifié(e) : Paul
le 1 Août 2021
Can you clarify the piecewise function f(x,t)? The first condition is:
rho(x) < t
but the second condition is
rho(x) < t < 2*rho(x)
Those conditions overlap. Should the first condition be t < rho(x) ?
Also, with rho(x) = sqrt(1-x^2) it would seem the integrand would become complex for abs(x) > 1. But the integration wrt x is over -inf to inf. Is this problem supposed to cover complex variables?
Réponses (0)
Voir également
Catégories
En savoir plus sur Solver Outputs and Iterative Display dans Help Center et File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!