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

question 38

Multiple Choice

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

• A) \(- 2\)
• B) \(- 1\)
• C) 2
• D) 1
• E) 0

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