Jonathan Kim
Assignment A2
MATH141, Winter 2008
You may attempt each problem a maximum of 5 times.
Please remember that, while WeBWorK can usually check only the correctness of your answers, your responsibility
in this course is to be able to justify your answers to problems of all these types, and others.
The assignment is due Sunday, February 3, 2008, at 11:30 PM.
1.
(1 pt) Find the volume of the solid obtained by rotating the
region bounded by the given curves about the specified axis.
y
40
x
5
x
2
y
0;
about the yaxis
Correct Answers:
10723.3029242532
2.
(1 pt) Evaluate the integral
x
3
x
4
8
6
dx
by making the substitution
u
x
4
8.
+C
NOTE: Your answer should be in terms of x and not u.
Correct Answers:
( (1/7) * (1/4) * (xˆ4  8)ˆ7 ) + Q
3.
(1 pt) Evaluate the indefinite integral.
ln
x
3
x
dx
+C
Correct Answers:
( (ln(x)ˆ4)/4
) + Q
4.
(1 pt) Evaluate the indefinite integral.
x
3
10
x
4
dx
+C
Correct Answers:
( 2/3 * 0.25 * (xˆ4 + 10)ˆ(3/2) ) + Q
5.
(1 pt) Evaluate the indefinite integral.
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 Fall '07
 BrianMcGill
 Derivative, Logarithm, Jonathan Kim

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