Question

i am having trouble with the algebraic part.
click the question so you know the equation.

Answer 1

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

Answer 2

upper limit = 4 ?
if yes, the denominator will become 0. The fraction does not exist.
I would like to confirm whether it is really 4

Answer 3

yes it is. i believe.

Answer 4

the answer is 3 pi over 4

Answer 5

integral pi (1/(x-4)^2) dx
=integral pi (1/(x-4)^2) d(x-4)
=pi (-(1/(x-4))

then, I think it is sth about taking limit but I am not sure. I am sorry for that. I am not able to help you on this.

Answer 6

but i cant figure out how to get that