Find the area of the region bounded by the curves `y=sqrt(x+2) and y=(1)/(x+1)` between the lines x=0 and x=2.
Text Solution
AI Generated Solution
To find the area of the region bounded by the curves \( y = \sqrt{x + 2} \) and \( y = \frac{1}{x + 1} \) between the lines \( x = 0 \) and \( x = 2 \), we will follow these steps:
### Step 1: Identify the curves and their intersection points
The curves are:
1. \( y = \sqrt{x + 2} \)
2. \( y = \frac{1}{x + 1} \)
To find the points of intersection, we set the two equations equal to each other:
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