Difference between revisions of "IndefiniteIntegrals1"
Jump to navigation
Jump to search
Paultpearson (talk | contribs) (PGML example link) |
(add historical tag and give links to newer problems.) |
||
| (One intermediate revision by the same user not shown) | |||
| Line 1: | Line 1: | ||
| + | {{historical}} |
||
| + | |||
| + | <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has been replaced with [https://openwebwork.github.io/pg-docs/sample-problems/IntegralCalc/IndefiniteIntegrals.html a newer version of this problem]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> |
||
| + | |||
| + | |||
<h2>Indefinite Integrals and General Antiderivatives</h2> |
<h2>Indefinite Integrals and General Antiderivatives</h2> |
||
| Line 16: | Line 21: | ||
<tr valign="top"> |
<tr valign="top"> |
||
| − | <th> PG problem file </th> |
+ | <th style="width: 40%"> PG problem file </th> |
<th> Explanation </th> |
<th> Explanation </th> |
||
</tr> |
</tr> |
||
| Line 43: | Line 48: | ||
loadMacros( |
loadMacros( |
||
| − | + | 'PGstandard.pl', |
|
| − | + | 'MathObjects.pl', |
|
| − | + | 'parserFormulaUpToConstant.pl', |
|
| − | + | 'PGML.pl', |
|
| + | 'PGcourse.pl' |
||
); |
); |
||
| Line 92: | Line 97: | ||
<td style="background-color:#ffdddd;border:black 1px dashed;"> |
<td style="background-color:#ffdddd;border:black 1px dashed;"> |
||
<pre> |
<pre> |
||
| − | Context()->texStrings; |
||
| + | BEGIN_PGML |
||
| − | BEGIN_TEXT |
||
| + | + Enter a specific antiderivative for [` e^x `]: [____________]{$specific->cmp(upToConstant=>1)} |
||
| − | Enter a specific antiderivative for \( e^x \): |
||
| + | |||
| − | \{ ans_rule(20) \} |
||
| + | + Enter the most general antiderivative for [` e^x `]: [____________]{$general} |
||
| − | \{ AnswerFormatHelp("formulas") \} |
||
| + | |||
| − | $BR |
||
| + | [@ helpLink('formulas') @]* |
||
| − | $BR |
||
| + | END_PGML |
||
| − | Enter the most general antiderivative for \( e^x \): |
||
| − | \{ ans_rule(20) \} |
||
| − | \{ AnswerFormatHelp("formulas") \} |
||
| − | END_TEXT |
||
| − | Context()->normalStrings; |
||
</pre> |
</pre> |
||
<td style="background-color:#ffcccc;padding:7px;"> |
<td style="background-color:#ffcccc;padding:7px;"> |
||
<p> |
<p> |
||
<b>Main Text:</b> |
<b>Main Text:</b> |
||
| − | </p> |
||
| − | </td> |
||
| − | </tr> |
||
| − | |||
| − | <!-- Answer evaluation section --> |
||
| − | |||
| − | <tr valign="top"> |
||
| − | <td style="background-color:#eeddff;border:black 1px dashed;"> |
||
| − | <pre> |
||
| − | $showPartialCorrectAnswers = 1; |
||
| − | |||
| − | ANS( $specific->cmp(upToConstant=>1) ); |
||
| − | |||
| − | ANS( $general->cmp() ); |
||
| − | </pre> |
||
| − | <td style="background-color:#eeccff;padding:7px;"> |
||
| − | <p> |
||
| − | <b>Answer Evaluation:</b> |
||
| − | 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>. |
||
</p> |
</p> |
||
</td> |
</td> |
||
| Line 136: | Line 117: | ||
<td style="background-color:#ddddff;border:black 1px dashed;"> |
<td style="background-color:#ddddff;border:black 1px dashed;"> |
||
<pre> |
<pre> |
||
| − | Context()->texStrings; |
||
| + | BEGIN_PGML_SOLUTION |
||
| − | BEGIN_SOLUTION |
||
Solution explanation goes here. |
Solution explanation goes here. |
||
| − | END_SOLUTION |
||
| + | END_PGML_SOLUTION |
||
| − | Context()->normalStrings; |
||
| − | |||
| − | COMMENT('MathObject version.'); |
||
ENDDOCUMENT(); |
ENDDOCUMENT(); |
||
Latest revision as of 05:13, 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 |
|---|---|
|
Problem tagging: |
|
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: |
