Question

int [1, 4] dx/(x-2)^2 ?

Answer 1

Substitute (x-2) = t

Answer 2

\[\int\limits_{1}^{4} \frac{ dx }{ (x-2)^{2} }\]

Answer 3

it should be infinite

Answer 4

its not integrable on [1,4]
because of "the function has vertica retricemptote in this interval "

Answer 5

yes, how do i show that?

Answer 6

but in complex
you can calcute it !

Answer 7

Oh yes!