This one has to be done by a real expert. i know the fake one

Let E = (2xy2, 2x2y, z2 +8). (a.) Let P = (1, 0, 0) and Q = (2, 3, 6) and R = (0, 0, 7). If T is the triangle formed by line-segments from P to Q to R then set-up and calculate T E - dr by explicit calculation of the line-integrals from the definition. (b.) Show that E is conservative on R3. (c.) Explain why the calculation from part (a.) makes good sense in view of (b.)