Find the range of `f(x) = (sin^(-1) x)^(2) + 2pi cos^(-1) x + pi^(2)`

Explanation

To find the range of the function \( f(x) = (\sin^{-1} x)^2 + 2\pi \cos^{-1} x + \pi^2 \), we will follow these steps:

### Step 1: Rewrite the function
We know that \( \cos^{-1} x = \frac{\pi}{2} - \sin^{-1} x \). Therefore, we can rewrite \( f(x) \) as:
\[ f(x) = (\sin^{-1} x)^2 + 2\pi \left(\frac{\pi}{2} - \sin^{-1} x\right) + \pi^2 \]

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