hello,
i am asked to find the double limit of (x^2) e^[y(x^2)] dx dy over the area bounded by y = 1/x and y = 1/(x^2) and x = ln4
thus i need to evaluate the
integral (from x=ln4 to x = infinity) of integral (from y=1/(x^2) to y=1/x) of
(x^2) e^[y(x^2)] dy dx
= integral (from x=ln4 to x = infinity) of (e^x) - e dx
= lim (at t--> infinity) of {(e^t) - et -4 +e ln4} = infinity
am i write?
can someone evaluate the improper integral for me at a slow pace?
Thanks very much!
i must be sleeping sorry it says the double integral of... i am learning double integrals
p.s. it turns out i was wrong (having seen the answers at the back of the book. I should have known as well because the question asks for the bounded area so the answer is a finite number!
Tx