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Integrate the functions(6x+7)/(sqrt((x-5...

Integrate the functions`(6x+7)/(sqrt((x-5)(x-4)))`

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To solve the integral \(\int \frac{6x + 7}{\sqrt{(x - 5)(x - 4)}} \, dx\), we will follow these steps: ### Step 1: Simplify the Integrand We start by rewriting the integrand: \[ \frac{6x + 7}{\sqrt{(x - 5)(x - 4)}} = \frac{6x + 7}{\sqrt{x^2 - 9x + 20}} \] This is because \((x - 5)(x - 4) = x^2 - 9x + 20\). ...
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