Hello and thanks for a great forum.
I just need some feedback on my calculations.
I need to integrate this 1/x^2(1+x)(1+x^2). Was thinking of doing it by factorisation. This is how a proceded.
Setting up the coefficients
A/x + B/x^2 + C/(1+x) + (Dx + E)/(1+x^2)
I multiply the eqvation with (1+x) and then put x = -1 to solve C
C = 1/-1^2(1+-1^2) C = 1/2
Once again a multiply with (1+x^2) to solve (Dx + E) and put x = i
Di + E = 1/i^2(1+i) Di + E = 1/(-1 – i) è D*1 + E = -1 – i
Is this correct so far,, im a bit uncertain when solving (Dx + E). Dont bother with A and B, I know how to solve them later on.