Merge branch 'openwebwork:main' into main

Author: jeis4wpi

OpenProblemLibrary/Rochester/setIntegrals0Theory/sc5_2_30.pg

@@ -18,54 +18,40 @@
 ## Problem1('61')
 ## KEYWORDS('integral')
 
-DOCUMENT();        # This should be the first executable line in the problem.
+DOCUMENT();    # This should be the first executable line in the problem.
 
-loadMacros(
-  "PGstandard.pl",
-  "PGchoicemacros.pl",
-  "PGcourse.pl"
-);
+loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl');
 
-TEXT(beginproblem());
 $showPartialCorrectAnswers = 1;
 
-$a= random(1, 10, 1);
-$add1= random(1, 10, 1);
-$add2= random(1, 10, 1);
-$b=$a+$add1;
-$c=$b+$add2;
+$a    = random(1, 10, 1);
+$add1 = random(1, 10, 1);
+$add2 = random(1, 10, 1);
+$b    = $a + $add1;
+$c    = $b + $add2;
 
-TEXT(EV2(<<EOT));
-\[ \int_{$a}^{$c} f(x) \,dx - \int_{$a}^{$b} f(x) \,dx = \int_{a}^{b} f(x) \,dx\]
-$BR where \( a= \)
-\{ans_rule( 10)\}
-and  \( b= \) \{ans_rule( 10)\}.
-EOT
+BEGIN_PGML
+[``` \int_{[$a]}^{[$c]} f(x) \,dx - \int_{[$a]}^{[$b]} f(x) \,dx = \int_{a}^{b} f(x) \,dx```]
 
-$lowerbound=$b;
-$upperbound=$c;
 
-ANS(num_cmp($lowerbound), num_cmp($upperbound));
+ where [` a= `] [_]{$b}
+and  [` b= `] [_]{$c}.
+END_PGML
 
+BEGIN_PGML_SOLUTION
 
-&SOLUTION(EV3(<<'EOT'));
-
-$SOL  $BR
-
-First recall the that
-        \[      \int_{a}^{b} f(x) \,dx + \int_{b}^{c} f(x) \,dx = \int_{a}^{c} f(x) \,dx      \]
+First recall that
+        [``` \int_{a}^{b} f(x) \,dx + \int_{b}^{c} f(x) \,dx = \int_{a}^{c} f(x) \,dx      ```]
 and therefore we can rearrange it to look like this:
-        \[      \int_{a}^{c} f(x) \,dx - \int_{a}^{b} f(x) \,dx = \int_{b}^{c} f(x) \,dx      \]
-$BR
+        [```      \int_{a}^{c} f(x) \,dx - \int_{a}^{b} f(x) \,dx = \int_{b}^{c} f(x) \,dx      ```]
 
-Applying that in this specific context, we find:
-        \[
-        \int_{$a}^{$c} f(x) \,dx - \int_{$a}^{$b} f(x) \,dx = \int_{$b}^{$c} f(x) \,dx
-        \]
-Thus we find \(a=$b\) and \(b=$c\).
 
-EOT
+Applying that in this specific context, we find:
+        [```
+        \int_{[$a]}^{[$c]} f(x) \,dx - \int_{[$a]}^{[$b]} f(x) \,dx = \int_{[$b]}^{[$c]} f(x) \,dx
+        ```]
+Thus we find [` a=[$b]`] and [`b=[$c]`].
 
+END_PGML_SOLUTION
 
 ENDDOCUMENT();        # This should be the last executable line in the problem.
-