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| 1 : | jj | 61 | ## DESCRIPTION |
| 2 : | jjholt | 471 | ## Find an Antiderivative |
| 3 : | jj | 61 | ## ENDDESCRIPTION |
| 4 : | |||
| 5 : | jjholt | 471 | ## KEYWORDS('calculus', 'antiderivative', 'integral', 'indefinite') |
| 6 : | jj | 61 | ## Tagged by YJ |
| 7 : | |||
| 8 : | ## DBsubject('Calculus') | ||
| 9 : | jjholt | 471 | ## DBchapter('Applications of Differentiation') |
| 10 : | ## DBsection('Antiderivatives') | ||
| 11 : | jj | 61 | ## Date('5/26/2005') |
| 12 : | ## Author('Jeff Holt') | ||
| 13 : | ## Institution('UVA') | ||
| 14 : | jjholt | 480 | ## TitleText1('Calculus: Early Transcendentals') |
| 15 : | ## EditionText1('5') | ||
| 16 : | jj | 61 | ## AuthorText1('Stewart') |
| 17 : | jjholt | 471 | ## Section1('4.10') |
| 18 : | jj | 61 | ## Problem1(' ') |
| 19 : | |||
| 20 : | jjholt | 481 | ## TitleText2('Calculus: Early Transcendentals') |
| 21 : | ## EditionText2('6') | ||
| 22 : | ## AuthorText2('Stewart') | ||
| 23 : | ## Section2('4.9') | ||
| 24 : | ## Problem2('') | ||
| 25 : | |||
| 26 : | jj | 61 | DOCUMENT(); |
| 27 : | |||
| 28 : | loadMacros( | ||
| 29 : | "PG.pl", | ||
| 30 : | "PGbasicmacros.pl", | ||
| 31 : | "PGchoicemacros.pl", | ||
| 32 : | "PGanswermacros.pl", | ||
| 33 : | "PGauxiliaryFunctions.pl" | ||
| 34 : | ); | ||
| 35 : | |||
| 36 : | gage | 268 | TEXT(beginproblem()); |
| 37 : | jj | 61 | $showPartialCorrectAnswers = 1; |
| 38 : | |||
| 39 : | $a = random(2,8,1); | ||
| 40 : | $b = random(3,7,1); | ||
| 41 : | |||
| 42 : | TEXT(EV2(<<EOT)); | ||
| 43 : | |||
| 44 : | Find the antiderivatives for | ||
| 45 : | $BR | ||
| 46 : | \[ | ||
| 47 : | \frac{dy}{dx} = $a e^x + $b. | ||
| 48 : | \] | ||
| 49 : | $BR | ||
| 50 : | \(y = \) \{ans_rule(35) \} + \( C\). | ||
| 51 : | $BR | ||
| 52 : | $BR | ||
| 53 : | |||
| 54 : | EOT | ||
| 55 : | |||
| 56 : | $ans = "$a*exp(x) + $b*x"; | ||
| 57 : | gage | 268 | ANS(fun_cmp($ans, mode=>"antider", vars=>"x")); |
| 58 : | jj | 61 | |
| 59 : | ENDDOCUMENT(); |
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