## DESCRIPTION ## Calculus ## ENDDESCRIPTION ## KEYWORDS('calculus', 'integrals', 'Partial Fractions') ## Tagged by YL ## DBsubject('Calculus') ## DBchapter('Techniques of Integration') ## DBsection('Integration by Partial Fractions') ## Date('') ## Author('') ## Institution('ASU') ## TitleText1('Calculus: Early Transcendentals') ## EditionText1('5') ## AuthorText1('Stewart') ## Section1('7.4') ## Problem1('') ## TitleText2('Calculus: Early Transcendentals') ## EditionText2('6') ## AuthorText2('Stewart') ## Section2('7.4') ## Problem2('') &DOCUMENT; loadMacros( "PG.pl", "PGbasicmacros.pl", "PGchoicemacros.pl", "PGanswermacros.pl", "PGauxiliaryFunctions.pl" ); TEXT(beginproblem()); $p=random(1,5,1);$u=random(1,6,1); $r=random(-4,-1,1);$a=random(-3,3,1); $l=2*$a; $q=$u+$p*$a; $b=random(1,5,1);$c=non_zero_random(-3,3,1); $d=$p+$r;$e=$q+($c*$p)+($l*$r);$k=$a*$a+$b*$b; $f=($r*$k)+($c*$q);$g=$l+$c; $h=$l*$c+$k; $j=$k*$c;$hp=$p/2;$v=$u/$b; $funct="$hp*ln(x*x+$l*x+$k)+$r*ln(abs(x+$c))+$v*arctan((x+$a)/$b)";$p1 = nicestring([$d,$e,$f]);$p2 = nicestring([1,$g,$h,\$j]); TEXT(EV2(<"antider")); &ENDDOCUMENT