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## Main Question or Discussion Point

so i'm having problems with the coefficients in this problem.

[tex]\int[/tex](10z+8/z^2-8z+41)dz

i know that the main chunk is

(a)ln|(z-4)^2+25|+(b)arctan((z-4)/5)

a and b are 5 and 32/5 respectively

the problem is i can't seem to split up the top so that the first portion is the derivitive of the bottom and that the other top is the right constant.

[tex]\int[/tex](10z+8/z^2-8z+41)dz

i know that the main chunk is

(a)ln|(z-4)^2+25|+(b)arctan((z-4)/5)

a and b are 5 and 32/5 respectively

the problem is i can't seem to split up the top so that the first portion is the derivitive of the bottom and that the other top is the right constant.