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4011 - Natural Logarithm Function
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  1. 4011- Natural Logarithm Function BC Calculus

  2. f(t) The Natural Logarithmic Function 0 .405 .693 .916 1.098

  3. f(t) The Natural Logarithmic Function -.223 -.511 -.916 -1.609

  4. f(t) H(x) The Natural Logarithmic Function

  5. Definition of ln (x) DEFN: The Natural Logarithmic Function is defined by Log Rule for Integration:

  6. L1 L2 1 0 1.5 .405 2 .693 2.5 .916 3 1.098 .8 -.223 .6 -.511 .4 -.916 .2 -1.609 STAT PLOT STAT ] EDIT 1: Edit ((fill the table)) [ 2nd ] ( Y= ) STAT PLOT 1: Plot 1 … On [ ZOOM ] 9: ZoomStat . . . . . . . . . . . . . . . [ Y = ] Y1 = ln (x) [ GRAPH]

  7. Integration EX:  EX: Definite Integrals

  8. TRIG Anti-derivatives involving ln Given without Proof:

  9. Last Update: • 02/1/10

  10. L1 L2 1 0 1.5 .405 2 .693 2.5 .916 3 1.098 .8 -.223 .6 -.511 .4 -.916 .2 -1.609 REGRESSION on the TI-83 STAT ] EDIT 1: Edit ((fill the table)) [ 2nd ] ( Y= ) STAT PLOT 1: Plot 1 … On [ ZOOM ] 9: ZoomStat . . . . . . . . . . . . . . . [ Y = ] Y1 = ln (x) [ GRAPH]