1)      If C is the circle , evaluate each integral

, , , , ,.

2)      If C is the circle , show by using section 1.3 that

        a) 

         b) (consider the parts of C with x>0  and x<0 separately).

3)  Let L be the line joining the point 1 to the point 2+2i.

a)  Use a suitable parametrization of L in the form, and then evaluate each integral

b) Using section 1.3, estimate.

4)  For any complex constant , let be the circle.  Assuming the continuity of f, show that

.

5) Let C be the circle. Evaluate given that

(An antiderivative is]).