Ernst_Maple_2_Fall_2007-1

Ernst_Maple_2_Fall_2007-1 - II/zo MATH-I02 MAPLE ASSIGNMENT...

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Unformatted text preview: II/zo MATH-I02 MAPLE ASSIGNMENT #2 INTEGRATION IN MAPLE 1. Evaluate the integrals using MAPLE and by working it out by hand. a) J x8-J x3 + 2 dx b) J ~e~-1 '.'" . f ('Y ) . .,':, Jx4e3Xdx c) trl3 d) J-x sec2 x dx 2 9 3 e) J x- x dx o ~9- x2 2. Evaluate the integral by first finding the partial fraction decomposition of the function using MAPLE. fpar:=convert(f,parfrac,x) ; 11 11 1 1 1 fpar:=---+------- 2x 6 x+2 3x-l , [ Example #4 Partial Fractions l > f:= (xA2-3*x+l) / (x ....3+x .... 2-2*x) ; f:= x2- 3 x + 1 x3+x2-2x I > l > Int{fpar,x) ; int(fpar,x) ; 1 11 1-- In( x) +- In( x + 2) - - In( x-I ) 2 6 3 [ > [ > [> [ > [ > [ > [> [ > [ > [ > [ > [ > [ > [ > [ > [ > [ > [ > [ > [ > [ > [ > [ > [ > [ > [ > [ > Page 2 11-14-0, yo .i[hb ~)l \J 5/<. _ LI \J ~/2-I- LI v '1'2.. ) J V 1 ('- 7( 8 5 8/ 3/) /3 "7 u 2.- 1'5 V /2- + 13 u 2- _ 30 7/2 52 5/ .- 21 V 15 \J 1- ::. MAPLE. 1- ::. ) ./' y..'2. J.,,3;-2 Jx....
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Ernst_Maple_2_Fall_2007-1 - II/zo MATH-I02 MAPLE ASSIGNMENT...

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