IntegralsTrigRcg

IntegralsTrigRcg - Mike Truong WeBWorK Dept of Mathematics...

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Unformatted text preview: Mike Truong WeBWorK @ Dept of Mathematics and Statistics @ SDSU WeBWorK problems. WeBWorK assignment 06IntegralsTrigRcg due 02/15/2008 at 09:00am PST. 1. (1 pt) Find the value of Z π / 6 sin ( 2 x ) sin ( x ) dx . Correct Answers: • 0.0833333 2. (1 pt) Evaluate the definite integral. Z 13 7 sin 2 ( 7 x ) cos 2 ( 7 x ) dx Correct Answers: • 0.756034022657107 3. (1 pt) Evaluate the definite integral. Z π / 2 sin 5 x cos 14 xdx Correct Answers: • 0.00165118679050567 4. (1 pt) Evaluate the definite integral. Z π 12- π 13 tan 2 ( 4 x ) dx Correct Answers: • 0.291739868935252 5. (1 pt) Evaluate the indefinite integral. Z sin 3 ( 12 x ) cos 4 ( 12 x ) dx + C Solution: First rewrite the integral as Z sin ( 12 x ) sin 2 ( 12 x ) cos 4 ( 12 x ) dx = Z sin ( 12 x )( 1- cos 2 ( 12 x )) cos 4 ( 12 x ) dx . Make the substitution u = cos ( 12 x ) , then du =- 12sin ( 12 x ) dx or- 1 12 du = sin ( 12 x ) dx ....
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This note was uploaded on 09/25/2010 for the course MATH 150 taught by Professor Shen during the Spring '08 term at San Diego State.

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IntegralsTrigRcg - Mike Truong WeBWorK Dept of Mathematics...

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