L14 - Intregrals of Trigonometric Functions _revisited_

L14 - Intregrals of Trigonometric Functions _revisited_ -...

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Integrals of Trig Functions Revisited (Section 7.2) Recall: 1. When the trig integral has even powers use sin 2 x 1 2 1 2 cos(2 x ) cos 2 x 1 2 1 2 cos(2 x ) 2. When the trig integral has odd powers (or both odd and even) use sin 2 x 1 cos 2 x cos 2 x 1 sin 2 x Suppose the integral contains tangent or secant. Ex. tan xdx
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Ex. sec x dx Ex. sec 2 xdx Ex. tan 2 x sec 2 xdx
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Many of the problems can be converted to sines and cosines. You
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Unformatted text preview: especially want to do this if the problem already contains a sine or cosine. Ex. csc t 2 sin 3 t 2 dt Ex. cot 2 (4 x )sin 4 (4 x ) dx Do: Evaluate 1. (sec 2 x 1) dx 2. cos 4 t 3 sec t 3 dt...
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L14 - Intregrals of Trigonometric Functions _revisited_ -...

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