4.B] Using Greenβs theorem, evaluate β«c (π₯π¦ + π¦2)ππ₯ + π₯2ππ¦, where C is bounded byπ¦ = π₯ and π¦ = π₯2
Answer:-
![4.B] Using Greenβs theorem, evaluate β«c (π₯π¦ + π¦2)ππ₯ + π₯2ππ¦, where C is bounded byπ¦ = π₯ and π¦ = π₯2](https://i0.wp.com/vtuupdates.com/wp-content/uploads/2022/08/image-102.png?resize=1024%2C915&ssl=1)
![4.B] Using Greenβs theorem, evaluate β«c (π₯π¦ + π¦2)ππ₯ + π₯2ππ¦, where C is bounded byπ¦ = π₯ and π¦ = π₯2](https://i0.wp.com/vtuupdates.com/wp-content/uploads/2022/08/image-103.png?resize=746%2C1024&ssl=1)
![4.B] Using Greenβs theorem, evaluate β«c (π₯π¦ + π¦2)ππ₯ + π₯2ππ¦, where C is bounded byπ¦ = π₯ and π¦ = π₯2](https://i0.wp.com/vtuupdates.com/wp-content/uploads/2022/08/image-104.png?resize=1024%2C825&ssl=1)
Using Greenβs theorem, evaluate β«_c(π₯π¦ + π¦^2)ππ₯ + π₯^2ππ¦, where C is bounded by π¦ =π₯ and π¦ = π₯^2