Find the antiderivative of `f(x) = In (In x) + (In x)^-2` whose graph passes through `(e, e)`.

Explanation

To find the antiderivative of the function \( f(x) = \ln(\ln x) + (\ln x)^{-2} \) whose graph passes through the point \( (e, e) \), we will follow these steps:

### Step 1: Set up the integral
We need to find the integral of the function:
\[ y = \int f(x) \, dx = \int \left( \ln(\ln x) + (\ln x)^{-2} \right) \, dx \]

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