IndefiniteIntegrals1

Indefinite Integrals and General Antiderivatives

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

• Download file: File:IndefiniteIntegrals1.txt (change the file extension from txt to pg when you save it)
• File location in NPL: NationalProblemLibrary/FortLewis/Authoring/Templates/IntegralCalc/IndefiniteIntegrals1.pg

Templates by Subject Area

PG problem file	Explanation
Problem tagging data	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");	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.
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 upToConstant=>1, otherwise the only answer that will be marked correct will be e^x.
Context()->texStrings; BEGIN_SOLUTION ${PAR}SOLUTION:${PAR} Solution explanation goes here. END_SOLUTION Context()->normalStrings; COMMENT('MathObject version.'); ENDDOCUMENT();	Solution:

Templates by Subject Area