Difference between revisions of "LimitsOfIntegration"
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m (3 revisions: import all default namespace pages from old wiki) |
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"PGstandard.pl", |
"PGstandard.pl", |
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"MathObjects.pl", |
"MathObjects.pl", |
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− | " |
+ | "PGunion.pl", |
); |
); |
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TEXT(beginproblem()); |
TEXT(beginproblem()); |
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<p> |
<p> |
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<b>Initialization:</b> |
<b>Initialization:</b> |
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− | We need to include the macros file <code> |
+ | We need to include the macros file <code>PGunion.pl</code>. |
</p> |
</p> |
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</td> |
</td> |
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Line 46: | Line 46: | ||
<pre> |
<pre> |
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Context("Numeric"); |
Context("Numeric"); |
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+ | |||
# |
# |
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# display the integral nicely |
# display the integral nicely |
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$integral = |
$integral = |
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'\[\int_{'.ans_rule(4).'}^{'.ans_rule(4).'}'. |
'\[\int_{'.ans_rule(4).'}^{'.ans_rule(4).'}'. |
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− | ans_rule( |
+ | ans_rule(10).'\,dx\]'; |
} else { |
} else { |
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$integral = |
$integral = |
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− | $PAR. |
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− | $BCENTER. |
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BeginTable(). |
BeginTable(). |
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Row(['\(\displaystyle \int\)', |
Row(['\(\displaystyle \int\)', |
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ans_rule(4).$BR.$BR.ans_rule(4), |
ans_rule(4).$BR.$BR.ans_rule(4), |
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− | ans_rule( |
+ | ans_rule(10), |
'\(dx\).'],separation=>2). |
'\(dx\).'],separation=>2). |
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− | EndTable() |
+ | EndTable(); |
− | $ECENTER; |
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} |
} |
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− | |||
</pre> |
</pre> |
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</td> |
</td> |
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Context()->texStrings; |
Context()->texStrings; |
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BEGIN_TEXT |
BEGIN_TEXT |
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− | \( \displaystyle \int_1^3 x^2 \, dx = \) |
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+ | Set up the integral of \( x^2 \) from 1 to 3. |
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+ | $PAR |
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+ | $BCENTER |
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$integral |
$integral |
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+ | $ECENTER |
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END_TEXT |
END_TEXT |
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Context()->normalStrings; |
Context()->normalStrings; |
Latest revision as of 15:19, 14 May 2010
Answer Blanks in the Limits of an Integral
This PG code shows how to put answer blanks into the limits of an integral.
PG problem file | Explanation |
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DOCUMENT(); loadMacros( "PGstandard.pl", "MathObjects.pl", "PGunion.pl", ); TEXT(beginproblem()); |
Initialization:
We need to include the macros file |
Context("Numeric"); # # display the integral nicely # if ($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 |
$showPartialCorrectAnswers = 1; ANS( Real(3)->cmp() ); ANS( Real(1)->cmp() ); ANS( Formula("x^2")->cmp() ); ENDDOCUMENT(); |
Answer Evaluation: As is the answer. |