# Calculus.5

Calculus Level pending

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

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.)

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