22 - TrigIntII

# 22 - TrigIntII - cosine Ex csc t 2 sin 3 t 2 ± dt Ex cot 2...

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Integrals of Trig Functions II Recall that when the trig integral has even powers use sin 2 x 1 2 - 1 2 cos2 x ±±±±±±±±±±cos 2 x 1 2 1 2 cos2 x When the trig integral has odd powers use sin 2 x 1 - cos 2 x ±±±±±±±±±±cos 2 x 1 - sin 2 x Suppose the integral contains tangent or secant. Ex. tan x ± dx

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Ex. sec x ± dx Ex. sec 2 x ± dx Ex. tan 2 x sec 2 x ± dx

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Many of the problems can be converted to sines or cosines. You especially want to do this if the problem already contains a sine or

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Unformatted text preview: cosine. Ex. csc t 2 sin 3 t 2 ± dt Ex. cot 2 4 x sin 4 4 x ± dx Ex. cos 5 y 5 ± dy Do: Evaluate 1. sec 2 x-1± dx 2. cos 4 t 3 sec t 3 ± dt...
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22 - TrigIntII - cosine Ex csc t 2 sin 3 t 2 ± dt Ex cot 2...

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