Difference between revisions of "IndefiniteIntegrals1"
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+ | {{historical}} |
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+ | <p style="font-size: 120%;font-weight:bold">This problem has been replaced with [https://openwebwork.github.io/pg-docs/sample-problems/IntegralCalc/IndefiniteIntegrals.html a newer version of this problem]</p> |
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<h2>Indefinite Integrals and General Antiderivatives</h2> |
<h2>Indefinite Integrals and General Antiderivatives</h2> |
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<tr valign="top"> |
<tr valign="top"> |
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− | <th> PG problem file </th> |
+ | <th style="width: 40%"> PG problem file </th> |
<th> Explanation </th> |
<th> Explanation </th> |
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</tr> |
</tr> |
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loadMacros( |
loadMacros( |
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− | + | 'PGstandard.pl', |
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− | + | 'MathObjects.pl', |
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− | + | 'parserFormulaUpToConstant.pl', |
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− | + | 'PGML.pl', |
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+ | 'PGcourse.pl' |
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); |
); |
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<td style="background-color:#ffdddd;border:black 1px dashed;"> |
<td style="background-color:#ffdddd;border:black 1px dashed;"> |
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<pre> |
<pre> |
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− | Context()->texStrings; |
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+ | BEGIN_PGML |
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− | BEGIN_TEXT |
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+ | + Enter a specific antiderivative for [` e^x `]: [____________]{$specific->cmp(upToConstant=>1)} |
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− | Enter a specific antiderivative for \( e^x \): |
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+ | |||
− | \{ ans_rule(20) \} |
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+ | + Enter the most general antiderivative for [` e^x `]: [____________]{$general} |
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− | \{ AnswerFormatHelp("formulas") \} |
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+ | |||
− | $BR |
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+ | [@ helpLink('formulas') @]* |
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− | $BR |
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+ | END_PGML |
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− | Enter the most general antiderivative for \( e^x \): |
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− | \{ ans_rule(20) \} |
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− | \{ AnswerFormatHelp("formulas") \} |
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− | END_TEXT |
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− | Context()->normalStrings; |
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</pre> |
</pre> |
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<td style="background-color:#ffcccc;padding:7px;"> |
<td style="background-color:#ffcccc;padding:7px;"> |
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<p> |
<p> |
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<b>Main Text:</b> |
<b>Main Text:</b> |
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− | </p> |
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− | </td> |
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− | </tr> |
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− | |||
− | <!-- Answer evaluation section --> |
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− | |||
− | <tr valign="top"> |
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− | <td style="background-color:#eeddff;border:black 1px dashed;"> |
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− | <pre> |
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− | $showPartialCorrectAnswers = 1; |
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− | |||
− | ANS( $specific->cmp(upToConstant=>1) ); |
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− | |||
− | ANS( $general->cmp() ); |
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− | </pre> |
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− | <td style="background-color:#eeccff;padding:7px;"> |
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− | <p> |
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− | <b>Answer Evaluation:</b> |
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− | For the specific antiderivative, we must use <code>upToConstant=>1</code>, otherwise the only answer that will be marked correct will be <code>e^x</code>. |
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</p> |
</p> |
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</td> |
</td> |
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<td style="background-color:#ddddff;border:black 1px dashed;"> |
<td style="background-color:#ddddff;border:black 1px dashed;"> |
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<pre> |
<pre> |
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− | Context()->texStrings; |
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+ | BEGIN_PGML_SOLUTION |
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− | BEGIN_SOLUTION |
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Solution explanation goes here. |
Solution explanation goes here. |
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− | END_SOLUTION |
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+ | END_PGML_SOLUTION |
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− | Context()->normalStrings; |
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− | |||
− | COMMENT('MathObject version.'); |
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ENDDOCUMENT(); |
ENDDOCUMENT(); |
Latest revision as of 06:13, 18 July 2023
This problem has been replaced with a newer version of this problem
Indefinite Integrals and General Antiderivatives
This PG code shows how to check answers that are indefinite integrals or general antiderivatives.
- File location in OPL: FortLewis/Authoring/Templates/IntegralCalc/IndefiniteIntegrals1.pg
- PGML location in OPL: FortLewis/Authoring/Templates/IntegralCalc/IndefiniteIntegrals1_PGML.pg
PG problem file | Explanation |
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Problem tagging: |
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DOCUMENT(); loadMacros( 'PGstandard.pl', 'MathObjects.pl', 'parserFormulaUpToConstant.pl', 'PGML.pl', 'PGcourse.pl' ); TEXT(beginproblem()); |
Initialization: |
Context("Numeric"); $specific = Formula("e^x"); $general = FormulaUpToConstant("e^x"); |
Setup: Examples of specific and general antiderivatives:
The specific antiderivative is an ordinary formula, and we check this answer, we will specify that it be a formula evaluated up to a constant (see the Answer Evaluation section below). For the general antiderivative, we use the |
BEGIN_PGML + Enter a specific antiderivative for [` e^x `]: [____________]{$specific->cmp(upToConstant=>1)} + Enter the most general antiderivative for [` e^x `]: [____________]{$general} [@ helpLink('formulas') @]* END_PGML |
Main Text: |
BEGIN_PGML_SOLUTION Solution explanation goes here. END_PGML_SOLUTION ENDDOCUMENT(); |
Solution: |