Indefinite Integration of a function

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SHUBHAM PATEL
SHUBHAM PATEL 2019-10-25
回答： Asvin Kumar 2019-10-30
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)

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Asvin Kumar
Asvin Kumar 2019-10-30
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

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