Math 211-03

9-12-2017

* [Trig substitution]*

1. Compute .

Note:

2. Compute .

3. Compute .

* [Partial fractions]*

4. Compute .

Since , I have

Set . This gives

Set . This gives

Therefore,

5. Compute .

Since , I have

Set . This gives

Set . This gives

Therefore,

6. Compute .

Set up the partial fractions decomposition:

Let . This gives

Therefore,

Let . This gives

Thus,

*As he thinketh in his heart, so is he.* - *Proverbs
23:7*

Copyright 2017 by Bruce Ikenaga