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candrie Group TitleBest ResponseYou've already chosen the best response.0
http://myalgebra.com/algebra_solver.aspx Plug your problem in here
 2 years ago

mrtuba Group TitleBest ResponseYou've already chosen the best response.1
\[\int\limits_{}^{}(3x^3+2x^2+7x+13)/((x1)^2(x^2+4)^2)\]
 2 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.3
Did you try partial fractions Are is partial fractions what you need help on?
 2 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.3
oops or* lol sorry
 2 years ago

mrtuba Group TitleBest ResponseYou've already chosen the best response.1
i did partial fractions but its so incredibly terrible that the expanded for after cross multiplication took up to line of college rule paper written in small print. I feel like there is some simplifying i could do before doing partial fractions
 2 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.3
It does look like it can nasty but I don't see any other way to go about it but... just because i don't see any other way doesn't mean it doesn't exist
 2 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.3
\[\frac{3x^3+2x^2+7x+13}{(x1)^2(x^2+4)^2}\] \[=\frac{A}{x1}+\frac{B}{(x1)^2}+\frac{Cx+D}{x^2+4}+\frac{Ex+F}{(x^2+4)^2}\] Yeah this is going to be ugly
 2 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.3
So you didn't find those constant values for A,B,C,D,E and F right?
 2 years ago

mrtuba Group TitleBest ResponseYou've already chosen the best response.1
no i just saw the set up after cross multiplying and expanding looked so crazy that i thought i had to have missed something that could make it easier.
 2 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.3
\[=\frac{A(x1)(x^2+4)^2}{(x1)^2(x^2+4)^2}+\frac{B(x^2+4)^2}{(x1)^2(x^2+4)^2}+\frac{(Cx+D)(x1)^2(x^2+4)}{(x1)^2(x^2+4)^2}+\frac{(Ex+F)(x1)^2}{(x^2+4)^2(x1)^2}\] \[3x^3+2x^2+7x+13=A(x1)(x^2+4)^2+B(x^2+4)^2+ \] \[(Cx+D)(x1)^2(x^2+4)+(Ex+F)(x1)^2 \] And then continue from here ....
 2 years ago

mrtuba Group TitleBest ResponseYou've already chosen the best response.1
yeah i went past that, just looks like this one will be ugly i guess ill just keep chugging thanks.
 2 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.3
Sorry... I'm not able to offer an easier way :(
 2 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.3
I don't think there is one...
 2 years ago

malevolence19 Group TitleBest ResponseYou've already chosen the best response.0
Plug in X=1 to get a value, x=0 might also help
 2 years ago

mrtuba Group TitleBest ResponseYou've already chosen the best response.1
can not figure out the system of equations this leads me to
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.2
1. Carefully check your + and  signs in the original problem. You've currently an unfactorable polynomial in the numerator with a larger, higher degree polynomial in the denominator. I'd agree with @myininaya's approach. One missed sign could make it factorisable such that something could simplify/cancel out and the whole thing become much more feasible. 2. There isn't an easier way, that I can see either, you're just going to have to solve that system of equations, namely you're going to have to use both methods of combining systems of equations and making substitutions, AND using known vertical asymptote values for the denominator (in this case +1 and 2i). Yes, I'm serious, use an imaginary root here, you kind of have to. Post your system of equation here, and try those roots, see what happens (things cancel out). 3. Using that I got: A = 0 B = 1 C = 0 D = 1 E = 1 F = 1 You'll also need to make use of this fact: \[\frac{d}{dx}(\frac{1}{a} \tan^{1}(\frac{x}{a})) = \frac{1}{x^2+a^2}\] This problem as written is doable, but it's a lot of work and will also most likely also force you to remember some antiderivatives which have trig function forms and make use of halfangle and doubleangle formulas too. So you got a lot of work to do, better get to it eh? ;D
 2 years ago

eliassaab Group TitleBest ResponseYou've already chosen the best response.0
Here is a summary and a conclusion to what have been above and what have not been \[ \frac{3 x^3+2 x^2+7 x+13}{(x1)^2 \left(x^2+4\right)^2}=\frac {x+1}{\left(x^2+4\right)^2} \frac{1}{x^2+4}+\frac{1}{( x1)^2}\\ \int \left(\frac{x+1}{\left(x^2+4\right)^2}\frac{1}{x^2+4}+\frac{1}{(x1)^2}\right) \, dx=\\\frac{x4}{8 \left(x^2+4\right)}\frac{1}{x1}\frac{7 }{16} \tan ^{1}\left(\frac{x}{2}\right)+ C \]
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.2
@eliassaab is 100% correct :)
 2 years ago
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