Math 182

Quiz 2                                                  Name:                          Key                                                     

                       

You must show all work to receive credit!

1.  Find the area of the region shown, bounded by y=x2 + 1 and y = 2x+1:

 

 

 

 

 

 

 

 

 

 

 

 

 


2.  Find the volume of the solid obtained when the region from #1 is rotated about the x-axis.

 

 

 

 

 

 

 

 

3.  Set up (but do not evaluate) an integral to find the length of the curve at the bottom of the region (ie,  on the given domain.