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Integrate (5x+2)dx/(x2) from 0 to 1 
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#1
Dec807, 07:14 PM

P: 54

1. The problem statement, all variables and given/known data
[tex]\int\frac{(5x+2)dx}{x2}[/tex] from 0 to 1 2. Relevant equations 3. The attempt at a solution ive tried splitting it up into (5x)/(x2) + (2)/x2), but i couldnt go any farter. Ived also tried using lots of U subsitutions, but i cant figure out what do next. Is there some trick that i am not seeing? 


#2
Dec807, 07:15 PM

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P: 25,235

Yep, the obvious one. u=x2. dx=du. x=2+u.



#3
Dec807, 07:22 PM

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Another way to split it up [without explicitly invoking a substitution]
is to write the numerator 5x+2 as 5(x2)+12. 


#4
Dec807, 07:28 PM

P: 1,754

Integrate (5x+2)dx/(x2) from 0 to 1



#5
Dec807, 07:38 PM

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P: 25,235




#6
Dec807, 08:00 PM

P: 206

Just do polynomial division. It becomes 5 + 12/(x  2).
Oops. 


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