All right. Here's the deal. Sorry I blew my top at you all last Friday. Most of you all are doing really well...and the rest of you just need to spend more time with the material. And that's really the bottom line. Every one of you gets how to do these integrals as soon as you are reminded of the rules and methods but you need to spend time engaging with the problems by yourself if you are ever really going to "own" the material.


So like I said here's the deal. We are going to have a test just on the integrals this Friday, I figure that's enough without adding the stuff on summation notation. I have given you solutions to the worksheets I handed out last week (see my last post) so that'll give you something to practice. Also, you'll find links below to webpages that have tutorials and problems for each of the integration techniques we have studied. Another perspective is always useful and also the problems break down the process and give you instant feedback which can be very helpful. You're assignment for tomorrow: (actually today, its getting late!) is to spend some time looking at each of theses pages and working these problems. This applies to all of you -- even if you feel like you have a good handle on the material. There will be a quiz at the beginning of class on Thursday drawn from these pages. As always, skip over problems that use rules we haven't studied (sec, tan, arcsin, etc.)

So, spend an hour or so with calculus, then enjoy your extra super long weekend...and no, you're not too old to play in the snow!

1. basic antiderivatives:
   
   
   • (this has a review of everything but "by-parts" and so might come in really hany when studying for test...for the quiz on Thursday be sure to click on the "problem sets" link in the antiderivative section)
     
     http://www.qcalculus.com/cal09.ht
   
   
2. u-substitution:
   
   
   • http://people.hofstra.edu/Stefan_Waner/RealWorld/tutorials4/frames6_2.html
   
   
   • (These are some examples if you need extra help. This won't be part of the quiz. There are drill problems though with solutions...this is a great way to study for the test on friday...hint,hint)
     
     http://archives.math.utk.edu/visual.calculus/4/substitutions.3/index.html
     **
   
   
3. integration by parts:
   
   
   • http://archives.math.utk.edu/visual.calculus/4/int_by_parts.3/**

** the solutions to these examples refers to a "Table of indefinite integrals" here's a link to it for you. Consider it your online version of the "hand-dandy integral table." Rules 1-6 are the ones we've covered together.