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Dido525
 2 years ago
Evaluate the Intergal
Dido525
 2 years ago
Evaluate the Intergal

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Dido525
 2 years 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
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0jus divide the numerator by x2

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

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

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

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

calmat01
 2 years 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
 2 years 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
 2 years 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
 2 years 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
 2 years 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
 2 years 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
 2 years 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
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0Wolfram made I think... 9 substitutions. I refuse to do that.

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

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

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

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