ESSAY.  Write your answer in the space provided or on a separate sheet of paper. 

Evaluate the integral. 

1) 

 

2) 

ln 7x dx 

Solve the problem. 

3) 

The rate of water usage for a business, in gallons per hour, is given by 
 where t is the number of hours since midnight.  Find the average rate of water usage over the interval 

 

1) 

 sin 3x +  cos 3x - x sin 3x - cos 3x + C 

2) 

 ln 7x -  + C 

3) 

2.62 gallons per hour