logarithm (1 Viewer)

ozidolroks · Mar 27, 2009

help with this question

Integration between x=4 and x=2 of 2x^3-x^2+5x+3/ x

thankx

Drongoski · Mar 27, 2009

$\int_{2}^{4}\ (\ 2x^{3}\ -\ x^{2}\ +5x\ +\ \frac{3}{x}\ )\ dx\\ \\ =\ \ \left [\frac{2}{4}x^{4}\ -\ \frac{1}{3}x^{3}\ +\ \frac{5}{2}x^{2}\ +\ 3\ ln\ \left |x \right | \right ]^{4}_{2}\\ \\ =(\frac{1}{2}\times 4^{4}\ -\ \frac{1}{3}\times 4^{3}\ +\ \frac{5}{2} \times 4^2 \ +\ 3\ ln\ 4\ )\ -\ (\frac{1}{2}\times 2^{4}-\frac{1}{3}\times 2^{3} +\ \frac{5}{2}\times 2^2 \ + 3\ln\ 2\ )\\ \\ =\ \ \ 150\ -\ \frac{56}{3}\ +\ ln\ 8\\ \\ \\$

Wonder if this is right.

edit: Just made some correction; hopefully didn't introduce new errors

GUSSSSSSSSSSSSS · Mar 27, 2009

ozidolroks said:
help with this question

Integration between x=4 and x=2 of 2x^3-x^2+5x+3/ x

thankx

do you mean ALL over x or just the 3 over x

cos it changes it dramatically

if its ALL over x then u just split it up into its constituents and simplify =]]

Drongoski · Mar 27, 2009

Oh dear .. misread 5x as 5; have to re-do.

GUSSSSSSSSSSSSS · Mar 27, 2009

Drongoski said:
Oh dear .. misread 5x as 5; have to re-do.

u really enjoy doing these q's dont you????lol

Drongoski · Mar 27, 2009

GUSSSSSSSSSSSSS said:
u really enjoy doing these q's dont you????lol

Yea .. I'm bored.

GUSSSSSSSSSSSSS · Mar 27, 2009

Drongoski said:
Yea .. I'm bored.

hahaha

i do them on paper

but i cant believe that u trek through that whole internet equation thingy

V. Nice

if my rep carried any weight with it, i would MASSSSIVELY rep you lol (even tho i havnt posted any questions..)

logarithm (1 Viewer)

ozidolroks

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