[rochester] / trunk / rochester_problib / setIntegrals14Substitution / sc5_5_49.pg Repository: Repository Listing bbplugincoursesdistsnplrochestersystemwww

# View of /trunk/rochester_problib/setIntegrals14Substitution/sc5_5_49.pg

Mon Jun 25 19:20:51 2001 UTC (11 years, 11 months ago) by sam
File size: 785 byte(s)
added problem library as webwork/ww_prob_lib with revision tag prob-lib-2

1 ##DESCRIPTION
2 ##KEYWORDS('integrals', 'substitution')
3 ##ENDDESCRIPTION
4
5 ## Before doing anything, we must import the macro definitions on the next few lines.
6
7 DOCUMENT();        # This should be the first executable line in the problem.
8
10 "PG.pl",
11 "PGbasicmacros.pl",
12 "PGchoicemacros.pl",
14 "PGauxiliaryFunctions.pl"
15 );
16
17 TEXT(&beginproblem);
18 $showPartialCorrectAnswers = 1; 19 20$a = random(1,4,1);
21 $b = random(1,5,1); 22$c = random(3,7,1);
23 $coeff = 1 /$b;
24 $soln =$coeff * (ln(($b *$a) + $c) - ln($c));
25
26 TEXT(EV2(<<EOT));
27
28 Evaluate the definite integral.
29 $BR $\int_{0}^{ a } \frac{dx}{b x + c}$ 30$BR $BR \{ans_rule( 30) \} 31$BR
32 EOT
33
34 $ans =$soln;
35 &ANS(std_num_cmp(\$ans));
36
37 ENDDOCUMENT();        # This should be the last executable line in the problem.