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Test 1 Solution

# Test 1 Solution - Name(Print Clearly PID MTH153 Section 1...

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Name (Print Clearly): PID: MTH153 Section 1, Test 1 Sept.18, 2009 Instructor: Dr. W. Wu Instructions: Answer the following questions in the space provided. There is more than adequate space provided to answer each question. The total time allowed for this quiz is 50 minutes. 1 [5 pts]. Evaluate the following indefinite integrals. (a) + - dx x x ) sec 4 1 2 ( 2 2 C x x x x x d dx x dx x + + = + - = + - - tan ) 2 ( sin tan ) 2 ( 1 ) 2 ( sec 4 1 2 1 2 2 2 (b) + + 3 2 2 x x dx + + = + + = + + 1 ) 2 1 ( 2 1 2 ) 1 ( 3 2 2 2 2 x dx x dx x x dx dt dx dx dt x t 2 2 1 2 1 = = + = C x C t t dt + + = + = + = - - ) 2 1 ( tan 2 2 tan 2 2 1 2 2 1 1 2 (c) xdx x ln 2 Let 3 2 3 1 , 1 , ln x v dx x du dx x dv x u = = = = C x x x dx x x x dx x x x x vdu x x xdx x + - = - = - = - = 3 3 2 3 3 3 3 2 9 1 ln 3 1 3 1 ln 3 1 1 3 1 ln 3 1 ln 3 1 ln

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(d) - dx x cos 1 C x dx x dx x dx x dx x + - = = = - = - 2 cos 2 2 ) 2 sin( 2 ) 2 ( sin 2 2 2 ) 2 2 cos( 1 cos 1 2 2 [5 pts each] . Evaluate the following definite integrals.
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Test 1 Solution - Name(Print Clearly PID MTH153 Section 1...

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