Hey I am having trouble with improper integrals. I have like 5-6 problems that I am just super stuck on. I have read the chapter like 2-3 times and still don't understand it.
1) int -2 to infinity 2 dx / (x^2-1)
this I think can be broken up into two integrals
2/(x+1) + 2/(x-1) and then these are both du/u problems.
so we have
lim b-> infinity int -2 to b 2/(x+1) + 2/(x-1)
now I am stuck.
int -infinity to -2 2 dx/(x^2-1)
can anyone give me a shove in the right direction please?
int -infinity to infinity 2x dx/(x^2+1)^2
another du/u Im assuming
but how do you deal with a -infinity to infinity improper integral
another shove please?
I would greatly appreciate any help to get these started