Find the maximum value of $\int_{C}x^2y-2y^2-5y{dx} +(2xy-y^2x){dy}$ , where C is closed curve with no self crossing taking in the positive direction.

it is obvious that i need to calculate using green theorem. i got that $\int_{C}x^2y-2y^2-5y{dx} +(2xy-y^2x){dy}$ is maximum when the domain is :

D:= $x^2 + (y-3)^2 \leq 14$

and i got that this maximum value is :

$\int_{C}x^2y-2y^2-5y{dx} +(2xy-y^2x){dy}$ = $\fbox{$\frac{(14)^2\pi}{2}$}$

i am not sure if the answer is right can someone help ?


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.