View of /trunk/rochester_problib/setIntegrals3Definite/osu_in_3_4.pg

    1 ##DESCRIPTION
    2 ##KEYWORDS('integrals', 'theory', 'definite')
    3 ##Authored by Zig Fiedorowicz 1/12/2000
    4 ##ENDDESCRIPTION
    5 
    6 DOCUMENT();        # This should be the first executable line in the problem.
    7 
    8 loadMacros(
    9 "PG.pl",
   10 "PGbasicmacros.pl",
   11 "PGchoicemacros.pl",
   12 "PGanswermacros.pl",
   13 "PGauxiliaryFunctions.pl"
   14 );
   15 
   16 TEXT(&beginproblem);
   17 $showPartialCorrectAnswers = 1;
   18 
   19 $a = random(3,9,1);
   20 $b = $a + 1;
   21 $c = (2**$b - 1)/$b;
   22 
   23 BEGIN_TEXT
   24 \( \displaystyle \int_b^{2b} x^{$a}\, dx \) =
   25 $BR
   26 \{ans_rule(30)\}
   27 $PAR
   28 END_TEXT
   29 
   30 &ANS(function_cmp("$c*b**$b","b"));
   31 
   32 ##set $PG_environment{'textbook'} in webworkCourse.ph
   33 if (defined($textbook)) {
   34    if ($textbook eq "EllisGulick5") {
   35 BEGIN_TEXT
   36 This is similar to Problem 16 in Section 5.4 of the text.
   37 END_TEXT
   38 }
   39 }
   40 
   41 ENDDOCUMENT();        # This should be the last executable line in the problem.
   42