Answer
$9.2 9357$
Work Step by Step
The formula to calculate the arc length is as follows: $L=\int_{c}^{d} \sqrt {1+[f'(x)]^2} dx$
Now, $f'(x)=y+1$
Re-write the equation as follows:
$L=\int_{-1}^{3} \sqrt {1+(y+1)^2} dy$
After calculations with a calculator:
$l= 9.2 9357$