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Math 1B
First Exam
Name:_________________________
SID:_____________________
(first last)
(Each problem worth 10 points)
1.
Evaluate:
()
∫
e
dx
x
1
2
ln
2.
Evaluate:
2
2
1
32
dx
x
x
+−
∫
3.
Evaluate:
2
tan sec
x
xdx
∫
4.
Evaluate:
dx
x
x
∫
−
1
tan
5.
Evaluate:
∫
∞
−
1
2
3
x
dx
6.
Evaluate:
∫
+
−
5
1
2
1
1
dx
x
x
x
7.
∫
dx
x
3
sin
8.
In class, we derived two different error bounds for the lefthand rule.
Carefully state one of them and explain
why it is true.
9. a)
The relationship between a circle’s radius
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This note was uploaded on 04/03/2008 for the course MATH 1B taught by Professor Reshetiken during the Spring '08 term at University of California, Berkeley.
 Spring '08
 Reshetiken
 Math

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