sin x over pi

If the integral $\left(\int_0^{\infty}\left(\int_0^x\dfrac{60y^{59}(2018^{60}-2019^{60})}{(2018^{60}+y^{60})(2019^{60}+y^{60})}dy-60\ln\left(\dfrac{2019}{2018}\right)\right)dx\right)^{-1}$ can be expressed as $\dfrac{\sin(a^{\circ})}{\pi}=\dfrac{b+\sqrt{a}-\phi(\sqrt{a}-b)\sqrt{b+\phi^{c}}}{d\sqrt{c}\phi\pi}$ where $a,b,c$ and $d$ are positive integer with $a$ being prime and $\phi$ represents Golden ratio .

Find the value of $a+b+c+d$ .

This is an original problem .