Draw a rough sketch of the curve `y=(x^2+3x+2)/(x^2-3x+2)`
and find the area of the bounded region between the curve and the x-axis.
Text Solution
AI Generated Solution
To solve the problem of finding the area of the bounded region between the curve \( y = \frac{x^2 + 3x + 2}{x^2 - 3x + 2} \) and the x-axis, we will follow these steps:
### Step 1: Factor the numerator and denominator
First, we will factor the numerator and denominator of the function.
- The numerator \( x^2 + 3x + 2 \) can be factored as:
\[
x^2 + 3x + 2 = (x + 1)(x + 2)
...