Question

∫(3x-2)/(x^2(x-1))dx|(2,∞)

Answer 1

do you know partial derivative?

Answer 2

no this is just improper integration

Answer 3

then the ans to your qn is ln2

Answer 4

i did but you have to know the partial derivative i will take steps by steps

Answer 5

lets deal with number first forget the integral sign

Answer 6

since this cant be done direct here is set up a/x+bx/x^2+c/[x-1]
=[3x-2]/[x^2*(x-1)] then find the value of a b and c

Answer 7

the values are a=2 b=-3 c=0 you can solve simultaneous eqn or matrix

Answer 8

now we can solve integration which look like this
2/x-3x/x^2+0/[x-1] this very simple to you now right?

Answer 9

2lnx-3lnx boundry [2,infinity]

Answer 10

0-[2ln2-3ln2]=-ln2/3ln2 property if logarithm this is = -ln2^2-3=-ln2^-1=ln2
final ans

Answer 11

that is how you do, any question facebook me if am not online

Answer 12

ok thanks a lot!!!