MATLAB: Can Matlab solve such a symbolic integral

Question

syms A w t x

f = sqrt(A + (w*x + t)^2);

int(f,x)

I couldn't find any way to obtain a solution (x) yet, so any help would be very welcomed

Answer 1

I am not certain what you want.

This works in R2020b:

syms A w t x
f = sqrt(A + (w*x + t)^2);
fint = int(f,x);
fint = simplify(fint, 'Steps',500)

producing:

fint =
(A*log(t + w*x + (A + (t + w*x)^2)^(1/2)))/(2*w) + ((A + (t + w*x)^2)^(1/2)*(t + w*x))/(2*w)

or stated in LaTeX:

.