# How to transform Beta distribution of second kind into Beta distribution of first kind?

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I tried to solve it in a way but I can't complete in as I don't get any idea how to integrate the Beta kind two integrand within a finite boundary.

• Simply use change of variables. $y=\frac{1}{1+x}\implies x=\frac{1-y}{y}$ and $x>0\implies 0<y<1$. So, $f_Y(y)=f_X(\frac{1-y}{y})\left|\frac{dx}{dy}\right|=\cdots$ – StubbornAtom May 25 at 7:56
• Please add the self-study tag. – kjetil b halvorsen May 25 at 8:20