Evaluate the line integral using the Fundamental Theorem of Line Integrals. Use a computer algebra system to verify your results.

Repeat Exercise 31 using the integral

Data from in Exercise 31

Evaluate the line integral using the Fundamental Theorem of Line Integrals. Use a computer algebra system to verify your results.

(a) C: line segment from (0, 0, 0) to (1, 1, 1)

(b) C: line segments from (0, 0, 0) to (0, 0, 1) to (1, 1, 1)

(c) C: line segments from (0, 0, 0) to (1, 0, 0) to (1, 1, 0) to (1, 1, 1)

So C zy dx + xz dy + xy dz.