We delved deeper into integration of rational expression wherein we could apply logarithmic techniques. We worked through two major problems--one of which we performed polynomial long division in order to manipulate the function into a form in which we could use logarithmic integration techniques and another in which we used a change of variables to achieve the same end.
Assignment
None.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
Jess was somewhat whipsawed by the second problem which I had to rush through because of time constraints. I promised her I'd go back and go through it at a slower pace on Monday. It was a challenging problem and I no doubt did her a disservice by rushing through it. We'll try to recover on Monday. Meantime, she's showing in Culpeper, VA this weekend. Memories!
finish chapter and review by answering questions from the end of the chapter.
Assignment
n/a
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
Jess attempted to answer most questions. Some required a little more prodding and explanation
It is tough to answer questions cold, but she did a good job.
Manipulation of Rational Functions to use Logarithmic Integration Methods.
Lesson Outline
We held a quick review of derivatives of natural logarithms and integration of a rational function of the form u'/u. We then went to a problem in which we had to manipulate the ratio in order to use logarithmic integration. Our follow on problem was to find the area under a curve using logarithmic integration.
