L8 - Trigonometric Integrals

L8 - Trigonometric Integrals - Ex. sin 3 x dx Ex. sin 4 x...

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Trigonometric Integrals (Section 7.2) RULE1: When a trig integral has ___________ powers, use the identities: ( a ) sin 2 x 1 cos(2 x ) 2 1 2 1 2 cos(2 x ) ( b ) cos 2 x 1 cos(2 x ) 2 1 2 1 2 cos(2 x ) Ex. sin 2 x dx Ex. cos 4 x dx
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RULE2: When a trig integral has __________ powers, use the identity: sin 2 x cos 2 x 1 along with u-substitution. *Can also use when the integral has both even and odd powers.
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Unformatted text preview: Ex. sin 3 x dx Ex. sin 4 x cos 3 x dx Ex. 4sin 2 x cos x dx Ex. sin 3 x cos 3 x dx Ex. sec 2 3 z tan 3 z dz Ex. sin 5 x dx Do: 1. sin 3 x cos 4 x dx 2. sin 3 y 2 cos 2 y 2 dy...
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L8 - Trigonometric Integrals - Ex. sin 3 x dx Ex. sin 4 x...

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