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# V 5 find the indefinite integral e t dt 1 e t c 6

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Unformatted text preview: efinite integral e t dt 1 e t C 6. Assuming d dx and (x 1 e 2 2 e 2 )2 2 e 2 2 2 2 )2 2 )2 2 ) 22 ) 2 2 2 (x 2( x 2 (x d e dx )2 22 d dx 2 (x 1 1 2 (x 1 ) 2 2 (x 1 2 are constants, calculate 2 (x e 2 )2 2 7. Assuming a is a constant, calculate d x ln(ax) dx ln(ax) x ln( ax) d d ( x ) x ln(ax ) dx dx 1 a ax 1 ln( ax) 8. What is the Taylor series expansion of e x around x=0? F ( x) e x F (a) e 0 dF dx ( x a) xa 1 02 e 0x ex 2 1 d 2F 2 dx 2 e ( x 1) F (a) e 0 dF dx ( x a) xa e 0 ( x 1) higher order terms xa 12 1x x 2 9. What is the Taylor series expansion of e F ( x) ( x a)2 1 d 2F 2 dx 2 10 e ( x 1) 2 2 ( x 1) ar...
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• Fall '12
• Dr.Holley
• Kilogram, Orders of magnitude, Litre, Taylor series expansion, higher order terms, PETR 2311 Reservoir Petrophysics

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