17.1

1.
x=cost y=sint dx=-sint dy=cost t=0..2pi
int(int(0-x))

3.
int(int(2x-2y,x=0..1),y=0..1) =0

5.
x=cost y=sint dx=-sint dy=cost t=0..2pi
int(cost^2*sint*-sint,t=0..2pi) =-pi/4

7.
int(int(0-2x,y=x^2..x),x=0..1) =1/6

9.
int(int(-exp(x-y)-exp(x+y),y=0..2),x=y..y+2) 
=(e^2-1)(e^4-5)/2

13. 
ABCDA-DA -> green, dx=0 along y and x=0 to get y-int
=34

17.2

1.pi

3.e^-1-1

5.(-3z^2e^z^3,2ze^z^2+zsin(xz),2),2pi

9.
curl=0 so surface irrelevant 

11.
z=2 r=3
=-45pi

13.
0,0 3,0 3,3
=0