Answer
$\operatorname{Out}[22]=\frac{3}{\pi}$
Work Step by Step
We find that the volume of the region is $3 / \pi$ when Using Wolfram Mathematica. We use the following commands:
$\ln [22]=$ Integrate $\left[x \star y^{3} \sin [x \star y], \quad\{x, 0, p i\}, \quad\{y, \quad 0,1\}\right]$
The code gives:
$\operatorname{Out}[22]=\frac{3}{\pi}$
