Okay, here's the integrand:

ex1 := (1+tan(gamma/2)^2)/(k^2+l^2*tan(gamma/2)^2)

Let's find the antiderivative:

ex2 := integrate(ex1,gamma)

And this is a simpler variant of the antiderivative:

ex3 := (2*atan(l/k*tan(gamma/2)))/(k*l)

Let's do a simple comparison:

normalize(ex2-ex3)

Oops, the difference is -π/(2kl). However:

D(ex2,gamma)-D(ex3,gamma)

returns zero.
How can make FriCAS find the simpler antiderivative?

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