Integral of PDF function

2020 2 10
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更新时间：2020 2 10
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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.
int.jpeg
See picture.

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Walter Roberson
Walter Roberson 2020-2-10

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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)

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rnd rnd
rnd rnd 2020-2-10
Thank you, it seems I am missing the Symbolic Math Toolbox.
Can you help me with workarround solution?
Walter Roberson
Walter Roberson 2020-2-10
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)

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