Find the value of \(\int\int_0^y \frac{2xy^5}{\sqrt{1+x^2 y^2-y^4}} dxdy\).
Posted: Thu Jul 14, 2022 9:29 am
a) \(2[\frac{y^4}{4}- \frac{2}{3} (1-y^4)^{\frac{3}{2}}]\)
b) \(2[\frac{y^4}{4}- (1-y^4)^{\frac{3}{2}}]\)
c) \(2[\frac{y^4}{4}-\frac{2}{3} (1-y^4)^{\frac{3}{2}}]\)
d) \(2[\frac{y^3}{3}-\frac{2}{3} (1-y^4)^{\frac{3}{2}}]\)
b) \(2[\frac{y^4}{4}- (1-y^4)^{\frac{3}{2}}]\)
c) \(2[\frac{y^4}{4}-\frac{2}{3} (1-y^4)^{\frac{3}{2}}]\)
d) \(2[\frac{y^3}{3}-\frac{2}{3} (1-y^4)^{\frac{3}{2}}]\)