Answer
$4.6984$
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, $f'(x)=x \sin x$
Re-write the equation as follows:
$L=\int_{0}^{\pi} \sqrt {1+(x \space \sin x)^2} dx$
After calculations using a calculator:
$l=4.6984$