engineering recuitment GATE EE 2023-24 Test Series Engineering Mathematics Calculus Theorems of Integral Calculus
Let \(I = \mathop \oint \limits_C \left( {{x^2}y\;dy - {y^2}x\;dx} \right)\), where C is the boundary of square 0 ≤ x ≤ 1, 0 ≤ y ≤ 1. Then I equals
1
\( {1 \over 4}\)
2
4
3
1
4
2