double integration of e^(x+y)dx dy ranging from 0<x<lnx and 1<y<ln8

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It isn't a good idea, use the variable of integration in the limits of integration. I think you meant `0ltxltln(a)` for some constant `a` or `0ltxltln(y),` in the latter case integration by `x` is inner:

`int_1^(ln 8) (int_0^(ln a) e^(x+y) dx) dy.`

 

Consider...

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