Calculus.5

$\large \int_{y=0}^a \int _{x=0}^{a-\sqrt { b-y^2}} \frac { xy\ln ( x+1729 )}{ ( x-a )^2} dx \ dy$

If the integral above, where $a=1729$ and $b=2989441$ , has a closed form of $\dfrac c8 \left( 1+\ln { d } \right)$ , find $a+b+c+d$ . (Note that $a$ , $b$ , $c$ and $d$ are not necessary distinct.)