let summary = [{
Compute the regularized incomplete beta integral \\(I_x(a, b)\\).
  }];

  let description = [{
The regularized incomplete beta integral is defined as:


\\(I_x(a, b) = \frac{B(x; a, b)}{B(a, b)}\\)

where


\\(B(x; a, b) = \int_0^x t^{a-1} (1 - t)^{b-1} dt\\)


is the incomplete beta function and \\(B(a, b)\\) is the *complete*
beta function.
  }];