1. The Integral: the Anti-derivative
By: Ashley Wang
Math Analysis Honors: Period 4
November 2007

2. First Step Simplify, if possible. This will make things a lot easier.
∫ (7x+2x+3)8
∫ (9x+3)8

3. Second Step Make your guess.
Raise the exponent– of the entire problem– to one number higher.
G:  (9x+3)9

4. Third Step Check your work.
Do this by setting the derivative of your guess equal to the original problem.
C: 9 (9x+3)8 * (9) = (9x+3)8
=1/81
HINT: Remember the package rule!

5. Fourth Step Plug the  into the guess to get the final answer.
1/81   (9x+3)9  1/81 (9x+3)9
A: 1/81 (9x+3)9
THIS is the integral of the problem.

6. Fifth Step
You could always double-check the answer, just to be absolutely sure.
It doesn’t hurt!
So, just take the derivative of the final answer and see if it equals the original problem.
If not, go back and check your work.

7. Fifth Step continued… A: 1/81 (9x+3)9 A’: 9 * 1/81 * (9x+3)8 * (9)
Yup, the answer is perfecto!

8. THE END Thank you Mr. Wiencek for watching my presentation and…
THANK YOU in advance, for giving me an ‘A’ in this class for the semester!!
Seriously!