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Dido525Best ResponseYou've already chosen the best response.0
\[\int\limits_{}^{}\frac{ 2x^44x^3+13x^26x+10 }{ (x2)(x^22x+5)^2 }dx\]
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
I solved it using a beastly amount of partial fractions after solving a system of 5 equations. Please tell me there is another easier way.
 one year ago

DHASHNIBest ResponseYou've already chosen the best response.0
jus divide the numerator by x2
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
Why though? I have no reason to do long division.
 one year ago

DHASHNIBest ResponseYou've already chosen the best response.0
it is jus to simplify the question
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
Hmm Okay... Let me see...
 one year ago

calmat01Best ResponseYou've already chosen the best response.0
Yep. it simplifies, reducing your amount of work.
 one year ago

calmat01Best ResponseYou've already chosen the best response.0
ok, maybe not. I really need a break. Making too many mistakes today. See you all later.
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
Erm... THat doesent help O_o . I get: \[2x^3+13x+20 +\frac{ 50 }{ 2x^3+13x+20 }\]
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
no it doesn't simplify but it has been cooked so that the partial fractions are nice integers
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
Ohh they are nice and all but even evaluating the damn partial fractions takes forever.
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
there are some snap methods for getting some of them i think eliasaab who i have not seen here for a while had a snappy way of doing it
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
So after the decomposition I get: \[\int\limits_{}^{}\frac{ 2 }{ x2 }+\frac{ 4 }{ x^22x+5 }+\frac{ x }{ (x^22x+5)^2 }dx\]
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
The first term is fine. It's the other two that take forever to integrate.
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
all integration is a useless pain in the butt that is why they invented computers it is not math, it is wasted doodling
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
Wolfram made I think... 9 substitutions. I refuse to do that.
 one year ago

TuringTestBest ResponseYou've already chosen the best response.0
@satellite73 D: blasphemy, integration is an art form!
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
waste a bunch of time showing off, saying "oh look, can find a function whose derivative is this, and a function whose derivative is that" when the truth is that if you pick a function out of a hat the probability you can find a nice closed for for the anti derivative is zero!
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
I mean I got the correct answer. But isn't there an easier way to do this?
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
nope you can see that by how annoying your answer is
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
Damn it. Thanks anyways guys :)
 one year ago

TuringTestBest ResponseYou've already chosen the best response.0
haha, true that. PF is just plain annoying
 one year ago
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