Inverse of Incomplete Beta Function 2

Let $b,p,q,x$ be positive real numbers and $0 < p,q,x < 1$, this calculator evaluates the following two functions.

  1. Inverse of regularized incomplete beta function on $a$, i.e. find $a$ such that $\displaystyle p=\mathbf{I}_x(a,b)=\frac{1}{\mathbf{B}(a,b)}\int_0^x t^{a-1}(1-t)^{b-1}\;dt$
  2. Inverse of complement regularized incomplete beta function on $a$, i.e. find $a$ such that $q=1-\mathbf{I}_x(a,b)$

Inverse Incomplete Beta Function Calculator 2