>>462817133do the big integration trick. x3 = x3 + x - x
so now you have
(x3 - x)/sqrt(1-x2) + x/sqrt(1-x2)
left side is x(x2-1)/sqrt(1-x2)
= -x(1-x2)/sqrt(1-x)2
well a/sqrt(a) = sqrt(a) so now that's -xsqrt(1-x2)
so -x*sqrt(1-x2) + x/sqrt(1-x2)
now we can do the big integration trick again on the right side. x = x+1-1
so the right term is (x-1)/sqrt(1-x2) +1/sqrt(1-x2)
which is -sqrt(1-x2) + 1/sqrt(1-x2)
so the full expression is
-x*sqrt(1-x2) -sqrt(1-x2) + 1/sqrt(1-x2)
the left part can just be integrated by parts so (1/3)*(1-x2)^(3/2)
middle term is 0.5(-xsqrt(1-x2)-asin(x)) and the right side is just asinx
so (1/3)*(1-x2)^(3/2) + 0.5(-xsqrt(1-x2)-asin(x)) + asinx + c
and if that turns out to be wrong I would simply type it into wolfram alpha because I am white and don't have time to waste on trifles
