1)	Find the arc length of the curve f(x)=x3/2 - 1 over the interval [0,1]
2)	Find the arc length of the curve f(x)=ln(cos x) over the interval [0,pi/4]
3)	Find the arc length of the curve f(x)=1/6 x3 + 1/2 x - 1 over the interval [1,2]

The Next TWO Problems Refer To The Paragraph Below.
This is a two step module. First you are asked to set up the integral which defines the amount of work being done by the spring. The main calculation here is the value of the spring constant. The second step is the actual calculation of the integral (which gives the amount of work done by the spring).
4)	A spring whose natural length is 1 m exerts a force of 1.5 N when stretched 2 m beyond its natural length. How much work is required to compress the spring from its natural length to a length of 1.6 m? 	
Step 1: Fill in the blanks below for the integral that defines the work required. 
Enter your answers below: 
	
	dx	

5)	A spring whose natural length is 7.1 m exerts a force of 2 N when stretched to a length of 9.1 m. How much work is required to compress the spring from its natural length to a length of 6.6 m? 	
Step 1: Fill in the blanks below for the integral that defines the work required. 
Enter your answers below: 
	
	dx