BC 1,2
Problem Set #1
(Due Thursday, August 30)
Name: ______________
Please show appropriate work – no calculator or computers – except to check work done by hand.
Work should be shown clearly, using correct mathematical notation. Please show enough work on all
problems so that others could follow your work and do a similar problem without help. Collaboration
is encouraged, but in the end, the work should be your own.
1. Let R be the region bounded by y  sec x, x 

, the x-axis and the y–axis.
4
a. Sketch the region R. [Neatness and accuracy count].
b. Find the exact area of R.
BC 1,2
Problem Set #1
(Due Thursday, August 30)
Name: ______________
x4
 5
2. Find the minimum distance from the point  0,  to the graph of y 
.
8
 2
3. Evaluate:
a.
2
 x 1  x dx
sin 2 x
b. 
dx
cos 4 x