Determine whether each integral is convergent or divergent.

1- 1/(x-2)^3/2 dx, limits ( infinite to 3)

2- (1/3-4x)dx, limits (0 to -infinite)

3- e^(-5p) dx, limits ( infinite to 2)

4- (x^2/(sqrt(1+x^3)))dx , limits ( infinite to 0)

5- lnx/x dx , limits(infinite to 1)

6- 1/(x^2 +x)dx , limits (infinite to 1)

7- 3/x^5 dx ,limits (1 to 0)

8- dx/(x+2)^1/4 , limits (14 to -2)

9- 1/(x-1)^1/3 , limits (9 to 0)

10- e^x /((e^x) -1), limits (1 to -1)

11- z^2 lnz dz ,limits( 2 to 0)

12- s={(x, y) | x>= 1,0 <= y <=e^-x}