**Get Consider The Following Integral. Sketch Its Region Of Integration In The Xy-Plane.
PNG**. Rewrite the integral in both cylindrical and spherical coordinates. Double integral over a triangular region.

Line integral over a closed path (part 1). Proper integrals of one variable. Which seems to be quite handy for evaluating surfaces integrals rather than bringing out partial derivatives and cross products.

### A b c d (click on a graph to enlarge it) correct answers:

If $s$ is closed you may use the div theorem. (c) show that the surface z = f (x, y) has a straight line ruled on it. A b c d (click on a graph to enlarge it) correct answers: The curve $c$ is oriented clockwise when viewed from above integrals and changes of variables