Math 142, Exam 1. 9/14/10. Name:
•Read problems carefully. Show all work.
•No notes, calculator, or text.
•The exam is approximately 15 percent of the total grade.
•There are 100 points total. Partial credit may be given.
Further instructions.
•Write your full name in the upper right corner of page 1.
•Number the pages in the upper right corner.
•Do problem 1 on page 1, problem 2 on page 2, etc.
•Circle or otherwise clearly identify your final answer.
Double-angle identities:
sin2x=1−cos 2x
2; cos2x=1 + cos 2x
2; sin 2x= 2 sin xcos x.
1. (17 points): Zx7ln x dx.
2. (17 points): Zπ/3
0
tan3θsec5θ dθ.
3. (17 points): Z1
x2√x2−4
dx.
4. (15 points): Zsin4t dt.
5. (15 points): Ze−3xsin x dx.
6. (19 points): Zx3+ 2x2−8x+ 4
x2(x2+ 4) dx.