Question: Evaluate C F (r) dr for given F and C by the method that seems most suitable. Remember that if F is a

Evaluate ∫_C F (r) • dr for given F and C by the method that seems most suitable. Remember that if F is a force, the integral gives the work done in the displacement along C. Show details.

F = [sin πy, cos πx, sin πx], C the boundary curve of 0 ≤ x ≤ 1, 0 ≤ y ≤ 2, z = x

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