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Math2254-004 Exam 2, Spring 2006 by Dr. Taixi Xu, Department of Mathematics, SPSU, Exams of Calculus

The spring 2006 exam 2 for math2254-004 class at the department of mathematics, spsu. The exam covers sections 8.2 to 8.5 and includes various integration problems. No calculator is allowed, and students are required to turn in a summary before the test. The document also includes a bonus question.

Typology: Exams

Pre 2010

Uploaded on 08/03/2009

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Spring 2006, Math2254-004 Exam 2 Dr. Taixi Xu Department of Mathematics, SPSU
Math2254-004 Exam 2 (covers §8.2 – 8.5)
Name: Score /100
No calculator is allowed. Show details for full or partial credits.
Turn in your summary for 5 points before the test.
Evaluate the integrals.
1. (10 points)
xdxx ln
2
2. (10 points)
dx
xx
x
12
12
2
Page 1 of 5
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Math2254-004 Exam 2 (covers §8.2 – 8.5)

Name: Score /

No calculator is allowed. Show details for full or partial credits. Turn in your summary for 5 points before the test. Evaluate the integrals.

1. (10 points)  x^ ln xdx

2

2. (10 points) 

dx x x x 2 1

2

3. (12 points) 

dx x x 1 2 4

4. (12 points)  x^ xdx

sin^2 cos^3

  1. (12 points) dx

( x 2  1 ) 3 / 2

1 Find the volume:

  1. (15 points) Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes and the curve ye ^2 x , and the line x^ ^1 , about y-axis. ( Hint : graph the region first)
  1. (10 points BONUS ) Evaluate the integrals. a) dx e e e e x x x x

2 4 2 b) x^ dx (sin^1 )^2