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  3. 3 evaluate the following integrals and state which

3 Evaluate the following integrals and state which case number from the lecture 3 notes...

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Calculus

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3 Evaluate the following integrals and state which case number from the lecture 3 notes each integral falls under a cos r sin zda Hint COS I cos x b sin Hint Case 3 from lecture 3 notes c sin zdr sin r rcos zdr d sin r cos Hint This is both case 3 and case 4 from lecture 3 notes Either method will work e cos4 cos rdx xdx Hint This is case 5 from lecture 3 notes Look at the last example of the lecture 3 notes to see how to start this question Keep in mind that there will be a cos 2x term appearing To deal with this you must use the identity once again cos 2 r 1 cos 4 Notice that the input of cosine gets doubled when the identity is applied 2 f cos r s cos r sin rdr

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