##PHP - 139##
Golfed:
<?php
$a=file_get_contents('http://stackoverflow.com/?tab=featured');preg_match_all('/n">\+([0-9]+)<\/div>/',$a,$r);echo array_sum($r[1]);
Ungolfed - 147
Simple file_get_contents / preg_match / array_sum
<?php
$a = file_get_contents('http://stackoverflow.com/?tab=featured');
preg_match_all('/n">\+([0-9]+)<\/div>/', $a, $r);
echo array_sum($r[1]);
Test:
php run.php
10250
