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Integrate the functions(x-1)/(sqrt(x^2-1...

Integrate the functions`(x-1)/(sqrt(x^2-1))`

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To solve the integral \(\int \frac{x-1}{\sqrt{x^2-1}} \, dx\), we can break it down into two separate integrals. Here’s the step-by-step solution: ### Step 1: Split the Integral We can rewrite the integral as: \[ \int \frac{x-1}{\sqrt{x^2-1}} \, dx = \int \frac{x}{\sqrt{x^2-1}} \, dx - \int \frac{1}{\sqrt{x^2-1}} \, dx \] ...
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