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 cos2 2 x x 2 sin x dx 2 1 sin 1 cos2 2 x x
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4 cos x dx Powers of Trig Functions 2 1 cos 1 cos2 2 x x 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 u x du x dx 2 u u d 3 1 cos 3 C x
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2 3 si cos n x x dx Powers of Trig Functions 3 5 1 1 cos cos 3 5 x x C 2 2 si n s i n co s x x x dx 2 2 sin cos 1 x x 2 2 (1 cos s ) cos in x x x x d 2 2 (1 ) u du u
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2 2 a x Trig Substitutions sin x a cos a Original Substitute New 2 2 x a 2 2 x a tan x a sec x a sec a tan a 2 2 a x 2 2 ( sin ) a a 2 2 (1 s ) in a 2 2 cos a
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2 4 dx x L n t a e 2t x 2 4 x 2 x 2 2se 2se 1 c c d
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