OpenStudy (anonymous):

ques

2 years ago
OpenStudy (anonymous):

Verify Greens Theorem \[\oint_\limits{C}(2y^2dx+3xdy)\] Where C is boundary of the closed region bounded by y=x and y=x^2 |dw:1442149865515:dw| Evaluating along C1 and C2 I get \[\frac{7}{30}\] But using Green's Theorem I get \[\int\limits_{0}^{1} \int\limits_{x}^{x^2}(3-4y)dydx=-\frac{7}{30}\]

2 years ago