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Integrate the functions1/(sqrt(7-6x-x^2)...

Integrate the functions`1/(sqrt(7-6x-x^2)`

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To integrate the function \( \frac{1}{\sqrt{7 - 6x - x^2}} \), we will follow these steps: ### Step 1: Rewrite the integrand We start by rewriting the expression under the square root: \[ 7 - 6x - x^2 = 7 - (x^2 + 6x) \] Next, we complete the square for \( x^2 + 6x \): ...
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