Question

integral of ((1-x)/(x))^2 dx

I mostly need help figuring out u and du.

Answer 1

oh oh is the square on the whole thinggggg
grrr wish i could read >.<

Answer 2

yea it's on the whole thing

Answer 3

\[\Large\rm \int\limits \left(\frac{1-x}{x}\right)^2dx\]Hmm I don't see a u-sub...
Expand then simplify I guess?

Answer 4

\[\Large\rm =\int\limits \frac{1}{x^2}-\frac{2}{x}+1~dx\]Something like that?

Answer 5

I think so and then you can integrate take antiderivative on each one

Answer 6

I see a logarithm

Answer 7

Final answer I get is \[-\frac{ 1 }{ x } - 2\ln(x) +x + C\]

Answer 8

Thanks for the help!