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7_2 - Trigonometric Integrals_ppt - with(u = sec x n If n...

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2/3/2010 1 Trigonometric Integrals Calculus II Section 7.2 or m or n even rewrite as and use a half- angle identity m or n odd pull off one and rewrite as then use a pythagorean identity and u- substitution dx x m sin dx x n cos dx m 2 / 2 ) (__ - dx x x m sin sin 1 Use the odd exponent to rewrite if you have one. If m & n are both even then use a half-angle identity to reduce powers. dx x x n m cos sin If m is odd pull off ( tanx secx) and rewrite the remaining ( tan m-1 x) in terms of ( sec 2 x) using (sec 2 x – 1 = tan 2 x) and use a u-sub.
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Unformatted text preview: with (u = sec x). n If n is even pull of (sec 2 x) and rewrite the remaining (sec n-2 x) in terms of (tan 2 x) then use u-substitution with (u = tan x). n If m is even and n is odd there is no set procedure. Do what you can! ∫ dx x x n m sec tan Other Combinations of Trig Functions n Change to sines and cosines n Use trig identities n Rewrite algebraically n Pray! PDF created with FinePrint pdfFactory trial version http://www.pdffactory.com...
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