Evaluate the double integral

Calculus Level 5

$\large \int_{0}^{1} \int_{0}^{1} \frac{ \arcsin( \sqrt{1-x} \sqrt{y})}{\sqrt{1-y} \sqrt{xy-y+1} } \; dx \; dy$

Evaluate the double integral above. If the answer comes in the form of $$a\pi (b-\ln c)$$, where $$\gcd (a,b,c)=1$$, then find $$a+b+c$$.

You may also like

×