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`sec^(-1)x`

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To integrate the function \( \sec^{-1}(x) \) with respect to \( x \), we can follow these steps: ### Step 1: Recall the Formula for the Derivative We start with the derivative of the inverse secant function: \[ \frac{d}{dx}(\sec^{-1}(x)) = \frac{1}{|x| \sqrt{x^2 - 1}} \] This means that the integral of \( \sec^{-1}(x) \) can be approached using integration by parts. ...
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