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| 1 : | sam | 2 | ##DESCRIPTION |
| 2 : | ##KEYWORDS('integrals', 'trigonometric') | ||
| 3 : | ##ENDDESCRIPTION | ||
| 4 : | |||
| 5 : | DOCUMENT(); # This should be the first executable line in the problem. | ||
| 6 : | |||
| 7 : | loadMacros( | ||
| 8 : | "PG.pl", | ||
| 9 : | "PGbasicmacros.pl", | ||
| 10 : | "PGchoicemacros.pl", | ||
| 11 : | "PGanswermacros.pl", | ||
| 12 : | "PGauxiliaryFunctions.pl" | ||
| 13 : | ); | ||
| 14 : | |||
| 15 : | gage | 823 | TEXT(beginproblem()); |
| 16 : | sam | 2 | $showPartialCorrectAnswers = 1; |
| 17 : | |||
| 18 : | $a = random(1,9,1); | ||
| 19 : | $b1 = random(1,9,1); | ||
| 20 : | $b = $a + $b1; | ||
| 21 : | $funct = "-0.5 * (cos(($a+ $b)*x)/($a + $b) + cos(($a - $b)*x)/($a - | ||
| 22 : | $b))"; | ||
| 23 : | |||
| 24 : | TEXT(EV2(<<EOT)); | ||
| 25 : | |||
| 26 : | Evaluate the indefinite integral. | ||
| 27 : | $BR \[ \int \sin($a x)\cos($b x)\ dx \] | ||
| 28 : | $BR $BR \{ans_rule( 30) \} | ||
| 29 : | $BR | ||
| 30 : | [NOTE: Remeber to enter all necessary *, (, and ) !! $BR | ||
| 31 : | Enter arctan(x) for \( \tan^{-1} x \) , sin(x) for \( \sin x \) . ] | ||
| 32 : | EOT | ||
| 33 : | |||
| 34 : | $ans = $funct; | ||
| 35 : | gage | 844 | ANS(fun_cmp($ans, mode=>"antider")); |
| 36 : | sam | 2 | |
| 37 : | ENDDOCUMENT(); # This should be the last executable line in the problem. |
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