Integral of PDF function

Hi,

So as the title says I want to evaluate the integral of PDF function but also with other expressions in the integral, Also my input x for the PDF function is a division of two variables.

Need help!

using : MATLAB R2019a

Thank you.

See picture.

Answer 1

[Walter Roberson]

syms R t w
PDF = @(x) exp(-x.^2/2) / sqrt(sym(2)*sym(pi));
result = int(PDF(t/R) / R * (1-t/w), t, 0, w)

[rnd rnd]

Thank you, it seems I am missing the Symbolic Math Toolbox.

Can you help me with workarround solution?

[Walter Roberson]

R = randn;
w = 10 * rand;

PDF = @(x) exp(-x.^2/2) ./ sqrt(2*pi);
fun = @(t)PDF(t/R)./R.*(1-t./w);
result = integral(fun, 0, w)