1. Basic Logarithmic and Exponential Integrals
Lesson 9.2

2. Review Recall the exception for the general power formula
Recall also from chapter 8 that
We will use this and the fact that the integral is the inverse operation of the derivative

3. Filling in the Gap Since then
Note the absolute value requirement since we cannot take ln u for u < 0
Thus we now have a way to take the integral of when n = -1

4. Try It Out! Consider What is the u? What is the du?
Rewrite, integrate, un-substitute

5. Integrating ex Recall derivative of exponential
Again, use this to determine integral
For bases other than e

6. Practice Try this one What is the u, the du?
Rewrite, integrate, un-substitute

7. Area under the Curve
What is the area bounded by y = 0, x = 0, y = e –x, and x = 4 ?
What about volume of region rotated about either x-axis or y-axis?

8. Application
If x mg of a drug is given, the rate of change in a person's temp in °F with respect to dosage is
A dosage of 1 mg raises the temp 2.4°F.
What is the function that gives total change in body temperature?
We are given T'(x), we seek T(x)

9. Application Take the indefinite integral of the T'(x)
Use the fact of the specified dosage and temp change to determine the value of C
+ C

10. Assignment
Lesson 9.2
Page 362
Exercises 1 – 33 odd