Difference between revisions of "IndefiniteIntegrals1"
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<h2>Indefinite Integrals and General Antiderivatives</h2> |
<h2>Indefinite Integrals and General Antiderivatives</h2> |
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| − | <p style="background-color:#eeeeee;border:black solid 1px;padding:3px;"> |
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| + | [[File:IndefiniteIntegrals1.png|300px|thumb|right|Click to enlarge]] |
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| + | <p style="background-color:#f9f9f9;border:black solid 1px;padding:3px;"> |
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This PG code shows how to check answers that are indefinite integrals or general antiderivatives. |
This PG code shows how to check answers that are indefinite integrals or general antiderivatives. |
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| − | <ul> |
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| − | <li>Download file: [[File:IndefiniteIntegrals1.txt]] (change the file extension from txt to pg when you save it)</li> |
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| − | <li>File location in NPL: <code>NationalProblemLibrary/FortLewis/Authoring/Templates/IntegralCalc/IndefiniteIntegrals1.pg</code></li> |
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| − | </ul> |
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</p> |
</p> |
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| + | * File location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/IntegralCalc/IndefiniteIntegrals1.pg FortLewis/Authoring/Templates/IntegralCalc/IndefiniteIntegrals1.pg] |
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| + | * PGML location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/IntegralCalc/IndefiniteIntegrals1_PGML.pg FortLewis/Authoring/Templates/IntegralCalc/IndefiniteIntegrals1_PGML.pg] |
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| + | <br clear="all" /> |
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<p style="text-align:center;"> |
<p style="text-align:center;"> |
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[[SubjectAreaTemplates|Templates by Subject Area]] |
[[SubjectAreaTemplates|Templates by Subject Area]] |
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Context("Numeric"); |
Context("Numeric"); |
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| − | # |
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| − | # Specific antiderivative: |
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| − | # Marks correct e^x, e^x + pi, etc |
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| − | # |
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$specific = Formula("e^x"); |
$specific = Formula("e^x"); |
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| − | # |
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| − | # General antiderivative |
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| − | # Marks correct |
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| − | # |
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$general = FormulaUpToConstant("e^x"); |
$general = FormulaUpToConstant("e^x"); |
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</pre> |
</pre> |
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<p> |
<p> |
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<b>Setup:</b> |
<b>Setup:</b> |
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| − | The specific antiderivative should mark correct answers such as <code>e^x, e^x + pi</code>, etc. The general antiderivative should mark correct answers such as <code>e^x + C, e^x + C - 3, e^x + K</code>, etc. |
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| + | Examples of specific and general antiderivatives: |
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| + | <ul> |
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| + | <li>Specific antiderivatives: <code>e^x, e^x + pi</code></li> |
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| + | <li>General antiderivatives: <code>e^x + C, e^x + C - 3, e^x + K</code></li> |
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| + | </ul> |
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</p> |
</p> |
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<p> |
<p> |
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Context()->texStrings; |
Context()->texStrings; |
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BEGIN_SOLUTION |
BEGIN_SOLUTION |
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| − | ${PAR}SOLUTION:${PAR} |
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Solution explanation goes here. |
Solution explanation goes here. |
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END_SOLUTION |
END_SOLUTION |
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[[Category:Top]] |
[[Category:Top]] |
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| − | [[Category: |
+ | [[Category:Sample Problems]] |
| + | [[Category:Subject Area Templates]] |
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Revision as of 13:49, 14 June 2015
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 |
|---|---|
|
Problem tagging: |
|
DOCUMENT(); loadMacros( "PGstandard.pl", "MathObjects.pl", "AnswerFormatHelp.pl", "parserFormulaUpToConstant.pl", ); TEXT(beginproblem()); |
Initialization: |
Context("Numeric");
$specific = Formula("e^x");
$general = FormulaUpToConstant("e^x");
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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 |
Context()->texStrings;
BEGIN_TEXT
Enter a specific antiderivative for \( e^x \):
\{ ans_rule(20) \}
\{ AnswerFormatHelp("formulas") \}
$BR
$BR
Enter the most general antiderivative for \( e^x \):
\{ ans_rule(20) \}
\{ AnswerFormatHelp("formulas") \}
END_TEXT
Context()->normalStrings;
|
Main Text: |
$showPartialCorrectAnswers = 1; ANS( $specific->cmp(upToConstant=>1) ); ANS( $general->cmp() ); |
Answer Evaluation:
For the specific antiderivative, we must use |
Context()->texStrings;
BEGIN_SOLUTION
Solution explanation goes here.
END_SOLUTION
Context()->normalStrings;
COMMENT('MathObject version.');
ENDDOCUMENT();
|
Solution: |
