CHAPTER 5 SECTION 5.2 THE NATURAL LOGARITHMIC FUNCTION: INTEGRATION

Theorem 5.5 Log Rule for Integration

Theorem:

Theorem:

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

Using Long Division Before Integrating Now take the integral

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

Guidelines for Integration

Integrals of the Six Basic Trigonometric Functions

Explanations:

Explanations: