Is there a closed-form expression for this integral?
$$\int \frac{\sin(Ax/2)}{A\sin(x/2)}\mathrm{d}x$$
2026-04-04 00:32:44.1775262764
Expressing an integral in closed form
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Mathematica gives (after some editing)
$\int\frac{sin(ax)}{sin(x)}dx =\dfrac{i*((1 + a)*Hypergeometric2F1[1, 1/2 - a/2, 3/2 - a/2, e^{(2*i)*x}] + (-1 + a)*e^{(2*i)*a*x}* Hypergeometric2F1[1, (1 + a)/2, (3 + a)/2, e^{(2*i)*x}])}{(-1 + a^2)*e^{i*(-1 + a)*x}}$