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SHOW ALL WORK. PLEASE FOLLOW THE INSTRUCTIONS CAREFULLY. Problem 13 (15 points) Use the technique of integration by parts to evaluate the following integral: F

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SHOW ALL WORK. PLEASE FOLLOW THE INSTRUCTIONS CAREFULLY.

image text in transcribed
Problem 13 (15 points) Use the technique of integration by parts to evaluate the following integral: F (x): [Hasgexdx a.) Define the function that should equal u, when the integral is expressed, u - v [v - u\" (:r.)d:c. b.) Define the function that should equal 1;, when the integral is expressed as above. Note: the resulting integral requires using parts integration a second time to integrate f1; ~ u' (x)d;r.. This specific integral is shown in the example on p. 625 in the Hey et al. textbook. c.) Solve the integral of f1: - u' (Md-.1: and substitute it into the expression for F (:3). (Remember to include the constant of integration, 0 , in your answer]

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