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

Let \(I = \mathop \oint \limits_C \left( {{x^2}y\;dy - {y^2}x\;dx} \ri

1.	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
A.	\( {1 \over 4}\)
B.	4
C.	1
D.	2
Answer» D. 2

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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

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