Evaluate the integral F dr where there is a portion C that consists of the three-line segments from (0, 1, π) to (−√3, 4, 18), then (−√3, 4, 18) to (14, √5, 10), and then (14, √5, 10) to (1, 0, π/2)....

Evaluate the integral F dr where there is a portion C that consists of the three-line segments from (0, 1, π) to (−√3, 4, 18), then (−√3, 4, 18) to (14, √5, 10), and then (14, √5, 10) to (1, 0, π/2).

F(x, y, z) = (12ye^2xy  − 6z²
+ 3) i+ 12ye^2xy− 2 cos(z)) j + (−12xz + 2y sin(z)) k