Here's the question you clicked on:
Dido525
Evaluate the Intergal
\[\int\limits_{}^{}\frac{ 2x^4-4x^3+13x^2-6x+10 }{ (x-2)(x^2-2x+5)^2 }dx\]
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.
jus divide the numerator by x-2
Why though? I have no reason to do long division.
it is jus to simplify the question
Hmm Okay... Let me see...
Yep. it simplifies, reducing your amount of work.
ok, maybe not. I really need a break. Making too many mistakes today. See you all later.
Erm... THat doesent help O_o . I get: \[2x^3+13x+20 +\frac{ 50 }{ 2x^3+13x+20 }\]
no it doesn't simplify but it has been cooked so that the partial fractions are nice integers
Ohh they are nice and all but even evaluating the damn partial fractions takes forever.
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
So after the decomposition I get: \[\int\limits_{}^{}\frac{ 2 }{ x-2 }+\frac{ 4 }{ x^2-2x+5 }+\frac{ x }{ (x^2-2x+5)^2 }dx\]
The first term is fine. It's the other two that take forever to integrate.
all integration is a useless pain in the butt that is why they invented computers it is not math, it is wasted doodling
Wolfram made I think... 9 substitutions. I refuse to do that.
@satellite73 D: blasphemy, integration is an art form!
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!
I mean I got the correct answer. But isn't there an easier way to do this?
nope you can see that by how annoying your answer is
Damn it. Thanks anyways guys :)
haha, true that. PF is just plain annoying