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## Homework Statement

[tex]

\displaystyle\int^1_0 \int^{e^x}_{1}dydx

[/tex]

## Homework Equations

none

## The Attempt at a Solution

the above integral i can do with no problem, but changing the order of integration give me a totally different answer and need to know if i am doing it correct

First off

[tex]

\displaystyle\int^1_0 \int^{e^x}_{1}dydx = e^1 - 2

[/tex]

To reverse the order of integration i get:

[tex]

\displaystyle\int^{e^1}_1 \int^{ln(y)}_{0}dxdy

[/tex]

which gives me 1 which is wrong

Before i post how i went about my solution I want to know if i am doing my limit right?

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