Need help with matlab code for below mentioned integrals
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I want to know how to write the code for below two integrals
1.) If , then how to write the matlab code for .
2.) If , then how to write the matlab code for .
4 Comments
Dyuman Joshi
on 15 Mar 2023
conv and trapz only supports numeric data.
Are you sure you have to use trapezoidal rule? You can achieve the result of the integration without using it.
Accepted Answer
Dyuman Joshi
on 15 Mar 2023
Note that you need symbolic toolbox to run this code -
syms a b x y tau
%Defining functions
r(a,b) = exp(-a-b);
f(a,x) = exp(-0.09*a) + (sin(0.05*x))^2;
K(x) = exp(-x^2)/sqrt(sym(pi));
P = int(r(a,tau)*f(tau,x), tau, 0, 50)
%To calculate the value of the integral for particular values of a and x
%use subs,
P_val = subs(P, [a,x], [1,0])
J = int(K(x-y)*f(a,y), y, 0, 50)
J_val=subs(J, [a,x], [1,0])
For J, int() is unable to compute the value of the definite integral. However, you can get the approximate numerical value by using vpa
J_valapprox=vpa(J_val)
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