Pre-Calc Homework Solutions 245

Pre-Calc Homework Solutions 245 - Section 6.2 csc x csc x...

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Unformatted text preview: Section 6.2 csc x csc x cot x dx cot x 245 5 26. 0 40 dx x 2 25 5 0 40 25 x 2 5 5 0 30. csc x dx 25 2 25 csc x dx csc2 x csc x cot x dx csc x cot x 40 25 x 5 1 dx 5 1 x 2 5 dx 1 Let u du csc x cot x csc2 x dx csc x cot x 1 du u Let u du 5 du csc x dx dx 5 0 ln u 40 dx x 2 25 8 (5) 5 1 0 C cot x C 1 u2 1 1 du 31. Let u du 3 ln csc x y dy 4 8 arctan u 0 1 8(arctan 1) 8 27. dx cot 3x sin 3x dx cos 3x 4 2 y 0 1 dy 1 u1/2 du 4 Let u du 1 du 3 dx cot 3x cos 3x 3 sin 3x dx sin 3x dx 1 3 1 3 1 3 1 du u 2 3/2 u 3 1 2 3/2 2 3/2 (4) (1) 3 3 2 2 14 (8) 3 3 3 32. Let u du C C 1 ln sec 3x 3 1 du 2 1 1 2r dr r2 ln u ln cos 3x r dr r 2 dr 1 u1/2 du 2 1 0 1 2 3/2 u 2 3 1 1 1 (0) (1) 3 3 0 (An equivalent expression is 28. Let u du 1 du 5 dx 5x 8 C.) r 1 0 5x 5 dx dx 8 1 3 33. Let u 1 u 1/2 du 5 1 2u1/2 C 5 2 5x 8 C 5 tan x sec2 x dx du 0 tan x sec2 x dx /4 0 u du 1 29. sec x dx sec x sec x tan x dx sec x tan x sec2 x sec x tan x dx sec x tan x 1 2 u 2 1 (0) 2 1 2 0 1 1 ( 1)2 2 Let u du sec x sec x tan x tan x sec2 x dx ln u C ln sec x tan x C 34. Let u du 1 du 21 1 (4 4 2r dr r dr r2 sec x dx 1 du u 5r dr r 2)2 5 2 5 u 5 2 du 0 ...
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This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.

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