Question

Using Green’s Theorem evaluate the integral \oint_{C}^{}(xydx+x^{2}y^{2}dy)  where C is the triangle with vertices (0,0),(1,0) and (1,2).

11 Mar 2024
Answer :
Word Count : 272
To solve this problem using Green's Theorem, we need to convert the line integral into a double integral over the region enclosed by the curve \(C\), which is the triangle with vertices \( (0, 0), (1, 0), (1, 2) \). ### Green's Theorem Green's Theorem states that: \[ \oint_{C} P \, dx + Q _______ __________ _____ ______ ___ ________ ________ ___ __________ ___.
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