\[\Large\displaystyle \int_0^\infty{_3F_2}\left(\begin{array}c\dfrac58,\dfrac58,\dfrac98\\dfrac12,\dfrac{{13}}8\end{array}\middle|\ {-x}\right)^2\frac{\mathrm{d}x}{\sqrt x}\]\[\Large\displaystyle \int_0^\infty{_3F_2}\left
\[\Large\displaystyle \int_0^\infty{_3F_2}\left(\begin{array}c\dfrac58,\dfrac58,\dfrac98\\dfrac12,\dfrac{{13}}8\end{array}\middle|\ {-x}\right)^2\frac{\mathrm{d}x}{\sqrt x}\]\[\Large\displaystyle \int_0^\infty{_3F_2}\left