Difference between revisions of "IndefiniteIntegrals1"

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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has been replaced with [https://openwebwork.github.io/pg-docs/sample-problems/IntegralCalc/IndefiniteIntegrals.html a newer version of this problem]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>
   

Latest revision as of 05:13, 18 July 2023

This article has been retained as a historical document. It is not up-to-date and the formatting may be lacking. Use the information herein with caution.

This problem has been replaced with a newer version of this problem


Indefinite Integrals and General Antiderivatives

Click to enlarge

This PG code shows how to check answers that are indefinite integrals or general antiderivatives.


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PG problem file Explanation

Problem tagging data

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:

  • Specific antiderivatives: e^x, e^x + pi
  • General antiderivatives: e^x + C, e^x + C - 3, e^x + K

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 FormulaUpToConstant() constructor provided by parserFormulaUpToConstant.pl.

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:

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