Evaluate using integration by parts.
A. 3x2 ln x - 
+ C
B. 3x2 ln x - 
x2 + C
C. 3x ln x - 
x + C
D. 
ln x - 
+ C
Answer: B
Mathematics
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Solve the problem.Find the volume of the solid generated by revolving the region in the first quadrant bounded by the x-axis and the curve y = x cos x, 0 ? x ? ?/2 about the y-axis.
A. 
- 4?
B. 
- 4?
C. 
+ 2?2 - 4?
D. 
- 8?
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Match the system of inequalities with one of the graphs.x2 + y2 ? 49x + y > 4
A. 
B. 
C. 
D. 
Mathematics
Decide whether or not the events are mutually exclusive.Being over 30 and being in college
A. Yes B. No
Mathematics
Write a general term an for the sequence. Assume that n begins with 1.
, 
, 
, 
, . . .
A. an = 
n
B. an = 
n-1
C. an = 
(n - 1)
D. an = 
n
Mathematics