Find the value of \(\mathop \oint \limits_c^\; \left[ {\left( {xy + {y^2}} \right)dx + {x^2}dy} \right],\) where C is bounded by y = x and y = x2.
1
\(- \frac{1}{{20}}\)
2
\(\frac{1}{{20}}\)
3
\(- \frac{1}{{10}}\)
4
\(\frac{1}{{10}}\)
Find the value of \(\mathop \oint \limits_c^\; \left[ {\left( {xy + {y^2}} \right)dx + {x^2}dy} \right],\) where C is bounded by y = x and y = x2.