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Fundamental Theorem of Line Integrals

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a). Show that the line integral ∫_C▒〖ysinxdx-cosxdy〗 is independent of the path.
b). evaluate the integral in part (a) along the line segment from (0, 1) to (π,-1)
c). Evaluate the integral ∫_((0,1))^((π,-1))▒〖ysinxdx-cosxdy〗 using Theorem 16.3.1 and confirm the value is the same as that obtained in part (b)

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Fundamental Theorem of Line Integrals is clearly explored in this case.

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