Integrate the following w.r.t x
`(x-2)sqrt(x^(2)-4x+5)`

Explanation

To solve the integral \(\int (x-2) \sqrt{x^2 - 4x + 5} \, dx\), we will follow these steps:

### Step 1: Simplify the Expression Under the Square Root
First, we simplify the expression under the square root:
\[ x^2 - 4x + 5 = (x^2 - 4x + 4) + 1 = (x-2)^2 + 1 \]
Thus, we rewrite the integral:
...