Find the volume of the body that is created by the rotation of these intervals
$$0\leq x \leq {\pi\over 2}$$ $$0\leq y \leq (e^t\times sin(t))$$
I have no idea on where to begin or even know how to do this, I don't want an answer directly but please give me a direction on what to do to solve this problem, I don't really understand the question.
Am I supposed to create a function of these two and then add them together using the disc or shell method?
Assuming $t$ is fixed, this area is a rectangle with one side on the $x$-axis. Rotation a rectangle around one of its sides generates a cylinder. The radius of the base of this cylinder is the side lying on the $y$-axis, and the height is the side lying on the $x$-axis.