M119+practice+test+4

M119+practice+test+4 - M119 Practice Test 4 Name Clearly...

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Page 1 of 5 M119 Practice Test 4 Name: _____________________________ Clearly print first and last name No graphing calculators . You must show your work for partial credit. (5 pts each) Evaluate each of the following definite integrals. Simplify, but write an exact answer, not a decimal approximation. 1. dx x ) 3 6 ( 1 1 5 + 2. dt t 3 1 1 3. + 1 0 6 3 ) ( dy y y 4. dt e t 5 0 04 . 5. 25 4 dx x 6. dx x 2 1 4 12
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Page 2 of 5 (4 pts each) Find each of the following indefinite integrals: 7. dx x x ) 2 7 ( 2 + 8. dx x e x ) 6 4 ( + 9. dt t e t ) 2 ( 4 3 + 10. dx x x ) 5 3 ( 3 11. (7 pts) Estimate the value of the definite integral dx x 10 2 2 by using n = 4 ( Δx= 2) and computing: a. The left-hand sum b. The right-hand sum c. The average d. Now find the exact value of the definite integral. Start by finding the anti-derivative.
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Page 3 of 5 12. (8 pts) Using the graph of f(x) below, find the following integrals: d a dx x f ) ( = _____ d
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This note was uploaded on 10/23/2011 for the course MATH-M 119 taught by Professor Rainey during the Spring '10 term at IUPUI.

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M119+practice+test+4 - M119 Practice Test 4 Name Clearly...

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