LimitsOfIntegration

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Answer Blanks in the Limits of an Integral


This PG code shows how to put answer blanks into the limits of an integral.

Problem Techniques Index

PG problem file Explanation
DOCUMENT();
loadMacros(
"PGstandard.pl",
"MathObjects.pl",
"PGunion.pl",
);
TEXT(beginproblem());

Initialization: We need to include the macros file PGunion.pl.

Context("Numeric");

#
# display the integral nicely
#
if ($displayMode eq 'TeX') {
  $integral =
    '\[\int_{'.ans_rule(4).'}^{'.ans_rule(4).'}'.
         ans_rule(10).'\,dx\]';
} else {
  $integral =
   BeginTable().
     Row(['\(\displaystyle \int\)',
       ans_rule(4).$BR.$BR.ans_rule(4),
       ans_rule(10),
       '\(dx\).'],separation=>2).
   EndTable();
}

Setup: We define a mode dependent integral with three answer blanks.

Context()->texStrings;
BEGIN_TEXT
Set up the integral of \( x^2 \) from 1 to 3.
$PAR
$BCENTER
$integral
$ECENTER
END_TEXT
Context()->normalStrings;

Main Text: The problem text section of the file is as we'd expect. We insert the integral with answer blanks using $integral.

$showPartialCorrectAnswers = 1;

ANS( Real(3)->cmp() );
ANS( Real(1)->cmp() );
ANS( Formula("x^2")->cmp() );

ENDDOCUMENT();

Answer Evaluation: As is the answer.

Problem Techniques Index

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