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| 1 : | jj | 61 | ## 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(); |
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