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## Homework Statement

Find all functions f that help satisfy the equation

[itex]\left(\int f(x)dx\right)\left(\int\frac{1}{f(x)}dx\right) = -1[/itex]

## Homework Equations

## The Attempt at a Solution

I'm not quite sure what to do here. When I differentiate I get [itex]f(x)\int1/ f(x) dx + 1/f(x)\int f(x) dx[/itex] which doesn't seem to help if I keep differentiating. I'm kinda stuck on this problem so any help is appreciated. Thanks