1} \,
du, \]</span> where <span class="math inline">\(\text{B}(a, b)\)</span> is the beta function defined in
<a href="beta-appendix.html#beta-appendix">appendix</a>. If <span class="math inline">\(x = 1\)</span>, the incomplete beta function
reduces to the beta function, <span class="math inline">\(\text{B}(1; a, b) = \text{B}(a, b)\)</span>.</p>
<p>The regularized incomplete beta function divides the incomplete beta
function by the beta function, <span class="math display">\[ I_x(a, b) \ = \ \frac{\text{B