Extremely hard Calc 3 Double Integral?

`j=lim_(c->oo) int_0^c(e^-x - e^-2x)x dx`

given that `j=int_0^ooint_x^(2x)(e^-y/x) dydx`

Switch the order of integration in

`int_0^cint_x^(2x)(e^-y/x) dydx`

The answer should have 2 integrals

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