# THE NATURAL LOGARITHMIC FUNCTION: INTEGRATION 2013 - 2014 AP CALCULUS AB CHAPTER 5, SECTION 2.

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THE NATURAL LOGARITHMIC FUNCTION: INTEGRATION 2013 - 2014 AP CALCULUS AB CHAPTER 5, SECTION 2

LOG RULE FOR INTEGRATION

ALSO…

USING THE LOG RULE FOR INTEGRATION

USING THE LOG RULE WITH A CHANGE OF VARIABLES

FINDING AREA WITH THE LOG RULE

RECOGNIZING QUOTIENT FORMS OF THE LOG RULE

USING LONG DIVISION BEFORE INTEGRATING

CHANGE OF VARIABLES WITH THE LOG RULE

INTEGRATION Integrating is not as straightforward as differentiation. You have to be able to recognize what is going on inside the equations. Here are a few guidelines that are listed in the book. Lear a basic list of integration formulas (you have 12: Power Rule, Log Rule, and 10 trig rules) Find an integration formula that resembles all or part of the integrand to try an figure out what u is. Guess and check here if needed. If you cannot find U substitution, try altering the formula to make it easier.

U -SUBSTITUTION AND THE LOG RULE

USING A TRIG IDENTITY

INTEGRALS OF THE SIX BASIC TRIGONOMETRIC FUNCTIONS

INTEGRATING TRIGONOMETRIC FUNCTIONS

FINDING AN AVERAGE VALUE

CH 5.2 HOMEWORK Pg 338 – 339, #’s: 1 – 41 every other odd, 47, 71, 75 (ignore the direction about Simpson’s rule)

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