integrate a rational function 1/(x(xto the power4-1))?

Question

This is calculus - Integration - problem which I am not able to solve. pls help. my phone no. if you need is [phone]

Answer 1

this is 1/x(x^4-1)

let x^2 = t
2x dx /dt =1
given expression = 1/x(x^4-1)
= x/x^2(x^4-1)
after substitution integration

wrt t 1/2t(t^2-1)
let it be a/t+b/(t-1) + c/(t+1)

so a(t-1)(t+1)+bt(t+1) + ct(t-1) = 1
this can be used to solve for a, b,c and then integrate
in case of problem please e-mail me

Answer 2

Go here for the answer:

http://wims.unice.fr/wims/wims.cgi?session=43B535C57C.1&lang=en&cmd=reply&module=tool%2Fanalysis%2Ffunction.en&fn=1+%2F+%28x*%28%28x%5E4%29-1%29%29&substitute=¢er=0&dev_order=5&show=intformal&ileft=&iright=&left=&right=&lower=&upper=&pleft=&pright=&num_precision=12&format=t

Also, for future problems, go here:

http://wims.unice.fr/wims/wims.cgi?module=tool/analysis/function.en