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If I = \int C (ey2xy)dx+(xeyx2)dy\left( e ^ { y } - 2 x y \right) d x + \left( x e ^ { y } - x ^ { 2 } \right) d y

Question 50

Multiple Choice

If I = \int C (ey2xy) dx+(xeyx2) dy\left( e ^ { y } - 2 x y \right) d x + \left( x e ^ { y } - x ^ { 2 } \right) d y is independent of the path where C is a curve from (2, 1) to (1, 0) then I is


A) 52e5 - 2 e
B) 5+2e5 + 2 e
C) 52e- 5 - 2 e
D) 5+2e- 5 + 2 e
E) 5e5 - e

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