Question

find the partial fraction decomposition for the following rational expression

Answer 1

\[\int\limits_{?}^{?} 2x^4-8x^2+5x-2/x^3-4x\]

Answer 2

HI!!

Answer 3

you have to divide first

Answer 4

do i factor out an x at the bottom

Answer 5

no not yet

Answer 6

you cannot do the partial fractions with the degree of the numerator larger than the degree of the denominator
you have to do the long division first
actually divide in other words

Answer 7

okay let see

Answer 8

i would use technology to divide, long division is a pain

Answer 9

yeah i got my calculator right beside me

Answer 10

lol why use a calculator? you are on a computer right?
http://www.wolframalpha.com/input/?i=+%282x%5E4-8x%5E2%2B5x-2%29%2F%28x%5E3-4x%29

Answer 11

of course wolfram will give the the final answer as well, but if you want the quotient and the remainder, it is
\[2x+\frac{5x-2}{x^3-4x}\]

Answer 12

i dont have gopro though

Answer 13

i dont think i am suppose to use long division

Answer 14

i don't know what go pro is
you have to divide
there is no choice

Answer 15

the partial fractions is for the part \[\frac{5x-2}{x^3-4x}\] the integral of the first part is \(x^2\)

Answer 16

its asking to get the final answer not the quotient and remainder

Answer 17

i guess i am not being clear
in order to use partial fractions to solve this integral, you have to divide the integrand to find the quotient and remainder
the partial fractions is only for the remainder
the quotient is \(2x\) and when you integrate that you get \(x^2\)
the integral you don't know is
\[\int \frac{5x-2}{x^3-4x}dx\] and that you solve using partial fractions