Indefinite Integration of a function

I wrote the following code in matlab but I am not getting the answer. This is Integration problem. Although if I integrate a simple function I am getting the answer but for this Complicated I am not.

t=1;
syms p E t

%f(p,E) = 1/(E-p^2)^(1/2)
f(p,E,t) = 1/((1-p^2)*(1-(E/(2*t)+p)^2))^(1/2);
Y = int(f,p)
%plot(Y,E)

[SHUBHAM PATEL]

Can anyone tell that it is possible or not in MATLAB?

[darova]

I didn't get the result too

Answer 1

[Asvin Kumar]

The output from the integration stays the same and remains unsolved because MATLAB is unable to find a closed form expression for the antiderivative of the given function.

Have a look at the example here to understand this better. It also provides an alternative approach to find approximate antiderivatives which uses the Taylor series approximation of the function.

https://www.mathworks.com/help/symbolic/int.html#btyb6gq-1

Additional reference:

https://www.mathworks.com/help/symbolic/int.html#btydjvs-2