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Evaluate the Line Integral sinxsinydxcosxcosydy using the Fundamental \int \sin x \sin y d x - \cos x \cos y d y \text { using the Fundamental }

Question 38

Multiple Choice

Evaluate the line integral sinxsinydxcosxcosydy using the Fundamental \int \sin x \sin y d x - \cos x \cos y d y \text { using the Fundamental } Theorem of Line Integrals, where CC is the line segment from (0,π) ( 0 , - \pi ) to (3π2,π2) \left( \frac { 3 \pi } { 2 } , \frac { \pi } { 2 } \right) .


A) 2- 2
B) 1- 1
C) 2
D) 1
E) 0

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