Calculus2.6

# Calculus2.6 - Section 7.3: Trigonometric Methods Powers of...

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Section 7.3: Trigonometric Methods

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2 cos x dx Powers of Trig Functions 2 1 cos 1 cos 2 2 xx 2 sin x dx 2 1 sin 1 cos 2 2
4 cos x dx Powers of Trig Functions 2 1 cos 1 cos 2 2 xx   2 2 cos x dx 2 1 1 cos (2 ) 2 x dx    2 1 2cos(2 ) cos 1 (2 ) 4 x dx x 

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2 sin cos x x dx Powers of Trig Functions cos sin ux du x dx 2 u u d 3 1 cos 3 C x 
2 3 si cos n x x dx Powers of Trig Functions 35 11 xx C 2 2 n s i n co s x x x 2 2 sin cos 1 x x  2 2 (1 cos s ) in x x d 2 2 (1 ) u du u

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22 ax Trig Substitutions sin x a cos a Original Substitute New xa tan x a sec x a a tan a ( sin ) a a 2 2 (1 s ) in a  2 2 a
2 4 dx x L n t a e 2t x 2 4 x 2 x 2 2se 1 c c d 2 2sec dx d  sec d | sec n n| l ta C  2 22 ln 4 C x x

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2 16 x dx x L n t i e 4s x
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## This document was uploaded on 10/27/2011 for the course MATH 1352 at Texas Tech.

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Calculus2.6 - Section 7.3: Trigonometric Methods Powers of...

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