View of /trunk/NationalProblemLibrary/ASU-topics/setAntiderivatives/6-1-46.pg

    1 ## DESCRIPTION
    2 ## Calculus: Single Variable
    3 ## ENDDESCRIPTION
    4 
    5 ## KEYWORDS('calculus', 'single', 'variable')
    6 ## Tagged by YJ
    7 
    8 ## DBsubject('Calculus')
    9 ## DBchapter('Single Variable')
   10 ## DBsection('Integration')
   11 ## Date('5/26/2005')
   12 ## Author('Jeff Holt')
   13 ## Institution('UVA')
   14 ## TitleText1('Calculus')
   15 ## EditionText1('5e')
   16 ## AuthorText1('Stewart')
   17 ## Section1('6.1.5')
   18 ## Problem1(' ')
   19 
   20 DOCUMENT();
   21 
   22 loadMacros(
   23 "PG.pl",
   24 "PGbasicmacros.pl",
   25 "PGchoicemacros.pl",
   26 "PGanswermacros.pl",
   27 "PGauxiliaryFunctions.pl"
   28 );
   29 
   30 TEXT(&beginproblem);
   31 $showPartialCorrectAnswers = 1;
   32 
   33 $a = random(6,18,2);
   34 $b = random(2,5,1);
   35 
   36 TEXT(EV2(<<EOT));
   37 
   38 Evaluate the indefinite integral:
   39 $BR
   40 $PAR
   41    \( \displaystyle{ \int \frac{$a dm}{m^{$b}}} = \)
   42    \{ans_rule(25) \} + \( C\).
   43 $BR
   44 $BR
   45 
   46 EOT
   47 
   48 $ans = "($a*m**(-$b+1))/(-$b+1)";
   49 &ANS(function_cmp_up_to_constant($ans,"m"));
   50 
   51 ENDDOCUMENT();