1. CHAPTER 5 SECTION 5.2 THE NATURAL LOGARITHMIC FUNCTION: INTEGRATION

2. Theorem 5.5 Log Rule for Integration

3. Theorem:

4. Theorem:

7. Using Long Division Before Integrating
Use of the log rule is often in disguised form
Do the division on this integrand and alter it's appearance

8. Using Long Division Before Integrating
Now take the integral

9. Change of Variables Consider So we have Then u = x – 1 and du = dx
But x = u and x – 2 = u – 1
So we have
Finish the integration

10. Guidelines for Integration

13. Integrals of the Six Basic Trigonometric Functions

14. Explanations:

15. Explanations: