integrate wrt to x dx/squareroot x^2-5x+7

To solve the integral of \(\frac{dx}{\sqrt{x^2 - 5x + 7}}\) with respect to \(x\), we can follow these steps:

### Step 1: Complete the Square
First, we rewrite the quadratic expression under the square root in a completed square form.

\[ x^2 - 5x + 7 \]

To complete the square, consider:

\[ x^2 - 5x + \left(\frac{5}{2}\right)^2 - \left(\

Learn how to integrate \(\frac{dx}{\sqrt{x^2 - 5x + 7}}\) with detailed steps and explanations. This problem involves techniques such as completing the square and integration methods. Suitable for college-level students.

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