This preview shows pages 1–6. Sign up to view the full content.
Calculus II Midterm 1
February, 2009
2
1. (3 marks each; total 9 marks)
Answer each question in the space provided.
You
MUST show your work.
a)
Evaluate
∫
∞
+
1
1
dx
x
x
.
b)
Consider the integral
∫
4
2
ln
xdx
.
If using the Trapezoidal rule to approximate
this integral, the error is approximated by
2
3
12
)
(
n
a
b
K
E
T
−
≤
with
K
x
f
≤
)
(
)
2
(
.
Find the value of
K
.
[Note:
Just find
K
; you do NOT have to
approximate the resulting error]
c)
Evaluate
∫
π
0
3
cos
sin
xdx
x
.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document Calculus II Midterm 1
February, 2009
3
2. (8 marks)
Evaluate
∫
+
+
dx
x
x
x
4
3
3
Calculus II Midterm 1
February, 2009
4
3. (8 marks)
Evaluate
∫
+
dx
x
x
2
2
4
1
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document Calculus II Midterm 1
February, 2009
5
4.
(8 marks)
Evaluate
∫
−
dx
x
e
x
1
2
)
arcsin(
.
[Hint:
One way to start is to find an appropriate
u
sub]
[Note:
This one is a lot of work…do it after you’ve tried everything else on the test]
Calculus II Midterm 1
February, 2009
6
5. (2 marks each; total 8 marks)
Answer each question in the space provided.
You do
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 10/02/2011 for the course MATH 1010 taught by Professor Mihai during the Spring '08 term at UOIT.
 Spring '08
 Mihai
 Calculus

Click to edit the document details