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Unformatted text preview: + 17 dx 5. (20 points) (a) Compute 2 Z x x 21 dx (b) Compute Z 1 x 2 / 3 (1 + x 2 / 3 ) dx FORMULA PAGE sin 2 θ + cos 2 θ = 1 tan 2 θ + 1 = sec 2 θ 1 + cot 2 θ = csc 2 θ sin( α + β ) = sin α cos β + cos α sin β sin( αβ ) = sin α cos βcos α sin β cos( α + β ) = cos α cos βsin α sin β cos( αβ ) = cos α cos β + sin α sin β tan( α + β ) = tan α + tan β 1tan α tan β sin 2 x = 1cos 2 x 2 cos 2 x = 1 + cos 2 x 2 sin 2 x = 2 sin x cos x (sin x ) = cos x (cos x ) =sin x (tan x ) = sec 2 x (sec x ) = sec x tan x (csc x ) =csc x cot x (cot x ) =csc 2 x ( e x ) = e x (ln x ) = 1 x (arcsin x ) = 1 √ 1x 2 (arctan x ) = 1 1 + x 2 (arcsec x ) = 1  x  √ x 21 x n +1 = x nf ( x n ) f ( x n ) f ( c ) = f ( b )f ( a ) ba f ( c ) = 1 ba b Z a f ( x ) dx Z sec xdx = ln  sec x + tan x  + C Z sec 3 xdx = 1 2 [sec x tan x + ln  sec x + tan x  ]+ C Z csc xdx = ln  csc xcot x  + C 1 + 1 = 2...
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This note was uploaded on 02/17/2010 for the course MATH 122 taught by Professor Butler during the Spring '07 term at Case Western.
 Spring '07
 Butler
 Math

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