Question

ques

Answer 1

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

Evaluating along C1 and C2 I get
\[\frac{7}{30}\]
But using Green's Theorem I get
\[\int\limits_{0}^{1} \int\limits_{x}^{x^2}(3-4y)dydx=-\frac{7}{30}\]