lesson 4 Integrals Yielding Natural Log Function

lesson 4 Integrals Yielding Natural Log Function - . 2 2 +...

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INTEGRALS YIELDING THE NATURAL LOGARITHMIC FUNCTION
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INTEGRALS YIELDING THE NATURAL LOGARITHMIC FUNCTION Define the natural logarithmic function; Illustrate solutions on problem yielding to natural logarithmic function; Derive particular formulas involving integrals relative to natural logarithmic function; and evaluate problems involving natural logarithmic OBJECTIVES:
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( 29 u du u ln d : call Re = ( 29 = lnu d u du side each of integral the Evaluate C u ln u du OR + =
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dx 7 - 2x 3 . 1 EXAMPLE: + + + dx 5 x x 2 4x
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Unformatted text preview: . 2 2 + 3 4 3 dx 1 x x . 3 + dx x-4 3x x . 4 3 EXERCISES: Evaluate the following integral. 2 4 3 dx x- dy y y ln + + ds 2 s 3 3 s 2 + + dt t sin t t cos 1 dx x ln x 2 --+ + 2 3 2 dx x 4 x 2 x 1 2 1 2 2 x dx x x + + + -+-3 / 1 dw 2 w 3 3 w 2 4 3 5 4 3 12 6 5 16 12 x x dx x x x + + + + + +-1 1 2 d Tan ) 1 ( 1 + + dx 1 x x 3 x 2 3 --+-2 1 2 2 3 dt t t t t...
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This note was uploaded on 08/19/2011 for the course ECON 232 taught by Professor Charles during the Spring '11 term at MIT.

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lesson 4 Integrals Yielding Natural Log Function - . 2 2 +...

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