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hartnn Group TitleBest ResponseYou've already chosen the best response.5
\(\huge \int \frac{x+1}{x(1+xe^x)^2}dx=..?\)
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.5
partial fractions? or x= log y substitution or how ??
 one year ago

abb0t Group TitleBest ResponseYou've already chosen the best response.0
Partial fractions.
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.5
for partial fractions, there should be linear expression, 1+xe^x is not linear....
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.5
*polynomial expression
 one year ago

abb0t Group TitleBest ResponseYou've already chosen the best response.0
But you do have a function squared. wHICH You can expand to get a ^2x
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.5
what would i take in numerator ?? if it were (x+1)^2, i would have taken A/(x+1) +B/(x+1)^2 ...
 one year ago

abb0t Group TitleBest ResponseYou've already chosen the best response.0
Yeah, or Ax+B for numerator if you expand it.
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.5
yeah, what here ?
 one year ago

abb0t Group TitleBest ResponseYou've already chosen the best response.0
I think you can use Ax+B w/o expanding. haha. I'm just making guesses now. I don't have a pen within a 12 inch radius Lol
 one year ago

abb0t Group TitleBest ResponseYou've already chosen the best response.0
But it looks like partial should work.
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.5
the answer suggested me partial, but how is the question....
 one year ago

abb0t Group TitleBest ResponseYou've already chosen the best response.0
\[\frac{ A}{ x } + \frac{ Bx+C }{ (1+xe^x) }+...\]
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.5
not justified, nor will give complete answer...
 one year ago

LogicalApple Group TitleBest ResponseYou've already chosen the best response.0
Right but what are the steps to derive this?
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.5
put 1+xe^x = t
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.5
then partial fractions...
 one year ago

abb0t Group TitleBest ResponseYou've already chosen the best response.0
nicely done, mate :)
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.5
\(\huge \int \frac{e^x(x+1)}{x.e^x(1+xe^x)^2}dx=\int \frac{dy}{y^2(y1)}\)
 one year ago

LogicalApple Group TitleBest ResponseYou've already chosen the best response.0
It's not magic anymore .. :(
 one year ago
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