This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
Unformatted text preview: Name: __________ Math 160 Test #4: Integration For the problems marked Calculator-free, no calculators may be used. You must show all work for these problems so that I can see, step by step, how it is done. Part I: Anti-derivatives Find the anti-derivative or integrate, as indicated. No calculators permitted for this part. 1. f ' x = x 2 6 x x 2. r ' s = s 2 2 s 3. du dv = v 1 v 2 4. x 6 x dx 5. x x 6 dx 6. x 2 x 3 1 dx 7. Find the equation of the line with slope y' = e 2 x 1 that passes through (0,5). Part II: Fundamental Theorem of Calculus 8. Estimate the area under the curve y = 9 x 2 from x = 0 to x = 3 A. Using L 3 B. Using R 3 C. Using M 3 D. What is the maximum error for this area if we partition it into three intervals? E. How many intervals would we need to calculate the area to the nearest tenth? Part III: Area You may use a calculator as necessary, but I need to see you set up the integral. Showing all work up to You may use a calculator as necessary, but I need to see you set up the integral....
View Full Document
This note was uploaded on 02/28/2012 for the course MATH 160 taught by Professor Staff during the Spring '08 term at Boise State.
- Spring '08