Find the second derivative of an integral function

Can anyone please help me with this problem. I have an integral function that I would like to differentiate it twice to find if it is convex or not. I'm not really sure how to do it in MATLAB. First, I have to find the second derivative by MATLAB to compare to my analytical answer. Here is the function. integral of f with respect to t from t0 to ts. f and the rest as below:

if true
  % code
syms price lamda t r t0 ts
fun = price .* exp(-lamda .* t) .* r; 
x = int(fun,t,[t0 ts])
Y = diff(X)
end

I do not need to integrate f, I just need to find its second derivative and this function happens to be an integral.

[Bruno Luong]

the second derivative wrt which variable? price, lambda, r, t0, ts?

[Yaser Khojah]

r please

[Bruno Luong]

The second derivative wrt r is 0 (fun is linear wrt r)

[Yaser Khojah]

Can you please show me the code.

[Torsten]

Y = diff(x,r,2)

[Bruno Luong]

I have no code, but who needs code for such obvious fact?

[Yaser Khojah]

This is my function. I think what you sent will not give me what I want.

[Bruno Luong]

Yes it does.

* dfun/dr = integral in [t0 ts] of price*exp(-lamda*t) dt;
* d^2fun/dr^2 = 0

You can pull out r out of the integral if it helps you to understand, since it does not depends on the integration variable t.