##DESCRIPTION
## Evaluate a definite integral
##ENDDESCRIPTION
##KEYWORDS('integrals', 'theory', 'definite')

## Shotwell cleaned
## lcao , PAID on 11-24-2003

## DBsubject('Calculus')
## DBchapter('Integrals')
## DBsection('The Fundamental Theorem of Calculus')
## Date('6/3/2002')
## Author('')
## Institution('')
## TitleText1('Calculus Early Transcendentals')
## EditionText1('4')
## AuthorText1('Stewart')
## Section1('5.3')
## Problem1('28')

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

loadMacros(
"PGbasicmacros.pl",
"PGanswermacros.pl",
"PGauxiliaryFunctions.pl"
);

TEXT(beginproblem());
$showPartialCorrectAnswers = 1;

$a1 = 0;
$b1 = random(2,10,1);
$c1 = random(5,9,1);
$d1 = random(1,4,1);

BEGIN_TEXT
Evaluate the definite integral
\[ \int_{ $d1 } ^ { $c1 } \frac { $b1 } { \sqrt x } dx \] $BR
Answer: \{ans_rule(60) \}

END_TEXT

$ans = "(2*$a1*$c1^2.5/5 + 2*$b1*$c1^.5) -(2*$a1*$d1^2.5/5 + 2*$b1*$d1^.5 )";
ANS(num_cmp($ans));

##set $PG_environment{'textbook'} in webworkCourse.ph
if (defined($textbook)) {
   if ($textbook eq "EllisGulick5") {
BEGIN_TEXT
This is similar to Problem 6 in Section 5.5 of the text.
END_TEXT
}
}

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