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Thu Jul 21 21:15:32 2011 UTC (22 months ago) by david smith
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    1 ## DESCRIPTION
2 ## Calculus
3 ## ENDDESCRIPTION
4
5 ## KEYWORDS('calculus','integration','definite')
6 ## Tagged by cmd6a 8/9/06
7
8 ## DBsubject('Calculus')
9 ## DBchapter('Integrals')
10 ## DBsection('The Definite Integral')
11 ## Date('8/23/07')
12 ## Author('')
13 ## Institution('')
14 ## TitleText1('')
15 ## EditionText1('')
16 ## AuthorText1('')
17 ## Section1('')
18 ## Problem1('')
19
20 DOCUMENT();        # This should be the first executable line in the problem.
21
22 loadMacros(
23   "PGstandard.pl",
24   "PGunion.pl",            # Union College utilities
25   "MathObjects.pl",
26   "PGcourse.pl",           # Customization file for the course
27 );
28
29 TEXT(beginproblem());
30
31 ###################################
32 # Setup
33
34 $a = random(2,10,2); 35 36$upperdisplay= Formula("pi");
37 $lowerdisplay= -Formula("pi"); 38$upper=Real($upperdisplay->eval(x=>0)); 39$lower=Real($lowerdisplay->eval(x=>0)); 40 41$integrand=Formula("cos^2 ($a*x)"); 42 43 ################################### 44 # Main text 45 46 Context()->texStrings; 47 BEGIN_TEXT 48 Evaluate the definite integral. 49$PAR
50 $$\displaystyle\int_{-\pi}^{\,\pi} integrand \,dx$$
51              = \{ans_rule(50)\}
52 END_TEXT
53 Context()->normalStrings;
54
55 ###################################
56 # Answers
57
58 \$showPartialCorrectAnswers = 1;
59 Context()->flags->set(reduceConstants=>0);
60
61 ANS(num_cmp( "pi" ) );
62
63 ###################################
64
65
66 COMMENT('MathObject version');
67 ENDDOCUMENT();


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