we have a seemingly simple problem with computing an integral. The webwork pg files gives one answer but a Matlab check gives another. I'd bet the webwork code has an error that I'm missing but I need some help finding it.

Webwork gives −23442.8571428571" role="presentation">−23442.8571428571

Matlab gives

>> c=-6;d=2;cc=3;liml2=-3;limu2=3;

>> ans2 = ((c^2)/(2*cc+1))*(limu2^(2*cc+1) - liml2^(2*cc+1))+ (d^2)*(limu2-liml2) +((2*d*c)/(cc + 1))*(limu2^(cc+1)-liml2^(cc+1))

ans2 = 2.2519e+04

>> ans2 = ((c^2)/(2*cc+1))*(limu2^(2*cc+1) - liml2^(2*cc+1))+ (d^2)*(limu2-liml2) +((2*d*c)/(cc + 1))*(limu2^(cc+1)-liml2^(cc+1))

ans2 = 2.2519e+04

The pg file seems simple enough

DOCUMENT(); # This should be the first executable line in the problem.

loadMacros(

#"PGbasicmacros.pl",

#"PGanswermacros.pl",

#"PGauxiliaryFunctions.pl",

"PGstandard.pl",

"MathObjects.pl",

"AnswerFormatHelp.pl",

"PGcourse.pl",

"answerHints.pl"

);

$showPartialCorrectAnswers = 1;

# seed = 2491

$c = Real(-6);

$d = Real(2);

$cc = Real(3);

$liml2 = Real(-3);

$limu2 = Real(3);

BEGIN_TEXT

$BBOLD Definite Integrals of Basic Functions $EBOLD

$PAR

Calculate the following definite integrals

$PAR

$BBOLD b) $EBOLD \( \displaystyle \int_{$liml2}^{$limu2} ($c t^{$cc} + $d)^2 \, dt\) = \{ ans_rule()\}

END_TEXT

$ans2 = "(($c^2)/(2*$cc+1))*($limu2^(2*$cc+1) - $liml2^(2*$cc+1))

+ ($d^2)*($limu2-$liml2) +

((2*$d*$c)/($cc + 1))*($limu2^($cc+1)-$liml2^($cc+1))";

ANS(num_cmp($ans2));

ENDDOCUMENT(); # This should be the last executable line in the problem.

loadMacros(

#"PGbasicmacros.pl",

#"PGanswermacros.pl",

#"PGauxiliaryFunctions.pl",

"PGstandard.pl",

"MathObjects.pl",

"AnswerFormatHelp.pl",

"PGcourse.pl",

"answerHints.pl"

);

$showPartialCorrectAnswers = 1;

# seed = 2491

$c = Real(-6);

$d = Real(2);

$cc = Real(3);

$liml2 = Real(-3);

$limu2 = Real(3);

BEGIN_TEXT

$BBOLD Definite Integrals of Basic Functions $EBOLD

$PAR

Calculate the following definite integrals

$PAR

$BBOLD b) $EBOLD \( \displaystyle \int_{$liml2}^{$limu2} ($c t^{$cc} + $d)^2 \, dt\) = \{ ans_rule()\}

END_TEXT

$ans2 = "(($c^2)/(2*$cc+1))*($limu2^(2*$cc+1) - $liml2^(2*$cc+1))

+ ($d^2)*($limu2-$liml2) +

((2*$d*$c)/($cc + 1))*($limu2^($cc+1)-$liml2^($cc+1))";

ANS(num_cmp($ans2));

ENDDOCUMENT(); # This should be the last executable line in the problem.

−23442.8571428571" role="presentation">

−23442.8571428571" role="presentation">Ma