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!