Key to the Practice Final

Problem 1

A.  (2ln(x + 1)+ 2x/(x + 1))(x + 1)^2x  

B.  -2x/(3 - x²)

Problem 2

A.  -ln|1 - x| + 1 - x + C

B.  3ln|x - 2| - ln|x - 1| + C

C.  -1/6 x e^-6x -1/36 e^-6x + C

D.  2ln|x² - x  + 5| + C

E.  e³

Problem 3

2pi/15

Problem 4

A.  dx/dt = ksqrt(x)

B.  9:00

Problem 5

13 weeks after it was put in.

Problem 6

A.  The integral is 1 and the function is positive

C. 50