2-2 - February 2 2005 Announcements T Toro's office hours...

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February 2, 2005 Announcements T. Toro’s office hours have been cancelled today. Today § 7.2 Trigonometric Integrals 1
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Trigonometric identities sin 2 x + cos 2 x = 1 sin 2 x = 1 2 (1 - cos 2 x ) cos 2 x = 1 2 (1 + cos 2 x ) sin x cos x = 1 2 sin 2 x sin a cos b = 1 2 [sin( a - b ) + sin( a + b )] sin a sin b = 1 2 [cos( a - b ) - cos( a + b )] cos a cos b = 1 2 [cos( a - b ) + cos( a + b )]
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Strategy for evaluating sin m x cos n x dx 1. If n = 2 k + 1 then sin m x cos 2 k +1 x dx = sin m x (cos 2 x ) k cos x dx = sin m x (1 - sin 2 x ) k cos x dx Then substitute
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