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Dido525
 one year ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{}^{}\frac{ 2x^44x^3+13x^26x+10 }{ (x2)(x^22x+5)^2 }dx\]

Dido525
 one year ago
Best ResponseYou've already chosen the best response.0I solved it using a beastly amount of partial fractions after solving a system of 5 equations. Please tell me there is another easier way.

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

Dido525
 one year ago
Best ResponseYou've already chosen the best response.0Why though? I have no reason to do long division.

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

Dido525
 one year ago
Best ResponseYou've already chosen the best response.0Hmm Okay... Let me see...

calmat01
 one year ago
Best ResponseYou've already chosen the best response.0Yep. it simplifies, reducing your amount of work.

calmat01
 one year ago
Best ResponseYou've already chosen the best response.0ok, maybe not. I really need a break. Making too many mistakes today. See you all later.

Dido525
 one year ago
Best ResponseYou've already chosen the best response.0Erm... THat doesent help O_o . I get: \[2x^3+13x+20 +\frac{ 50 }{ 2x^3+13x+20 }\]

satellite73
 one year ago
Best ResponseYou've already chosen the best response.0no it doesn't simplify but it has been cooked so that the partial fractions are nice integers

Dido525
 one year ago
Best ResponseYou've already chosen the best response.0Ohh they are nice and all but even evaluating the damn partial fractions takes forever.

satellite73
 one year ago
Best ResponseYou've already chosen the best response.0there 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

Dido525
 one year ago
Best ResponseYou've already chosen the best response.0So after the decomposition I get: \[\int\limits_{}^{}\frac{ 2 }{ x2 }+\frac{ 4 }{ x^22x+5 }+\frac{ x }{ (x^22x+5)^2 }dx\]

Dido525
 one year ago
Best ResponseYou've already chosen the best response.0The first term is fine. It's the other two that take forever to integrate.

satellite73
 one year ago
Best ResponseYou've already chosen the best response.0all integration is a useless pain in the butt that is why they invented computers it is not math, it is wasted doodling

Dido525
 one year ago
Best ResponseYou've already chosen the best response.0Wolfram made I think... 9 substitutions. I refuse to do that.

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

satellite73
 one year ago
Best ResponseYou've already chosen the best response.0waste 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!

Dido525
 one year ago
Best ResponseYou've already chosen the best response.0I mean I got the correct answer. But isn't there an easier way to do this?

satellite73
 one year ago
Best ResponseYou've already chosen the best response.0nope you can see that by how annoying your answer is

Dido525
 one year ago
Best ResponseYou've already chosen the best response.0Damn it. Thanks anyways guys :)

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