# Calc exam 4 - dx x f 2 The area of the region surrounded by 2 and 1 2 =-=-= = y x x x f y = F(4 points each Use the Fundamental Theorem of Calculus

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Math 211-Test IV December 2, 2005 Name:________________________ A.(3 points each) Find each of the general indefinite integrals. 1. + - dx x x 5 4 3 5 2. = + - dx x x x 2 2 2 3. = + + - dx x x x 2 1 5 sin 3 2 4. = - - dx e x x 3 3 3 4 4

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B. (4 points each) Find each of the general indefinite integrals. 1. ( 29 = - + - dx x x x x ) ( 5 2 3 5 2 4 2. = xdx e x sin cos 2 3. = - dx x x ln 1
C. (5 points) Find the exact value for dx x x - - + 4 0 2 16 10 (No approximation!). D. (4 points each) The following graph is ) ( x f y = : Express each of the followings in terms of ‘ α , where = 2 0 ) ( dx x f . 1. = - 0 1

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Unformatted text preview: ) ( dx x f 2. The area of the region surrounded by 2 and , 1 , 2 ), ( =-=-= = y x x x f y = F(4 points each) Use the Fundamental Theorem of Calculus II to find the exact value of 1. =--+ +-+ ∫-dx x x x x x x 2 2 8 11 5 4 9 12 tan 4 cos sin 2 π 2. ∫ =-1 6 ) 2 1 ( 7 dx x H.(5 points) Use the Fundamental Theorem of Calculus I to simplify = -∫ x dt t t dx d cos 3 1...
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## This note was uploaded on 04/04/2008 for the course CALC 181 taught by Professor Choi during the Spring '08 term at Shippensburg University of Pennsylvania.

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Calc exam 4 - dx x f 2 The area of the region surrounded by 2 and 1 2 =-=-= = y x x x f y = F(4 points each Use the Fundamental Theorem of Calculus

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