Question

Write the integral in one variable to find the volume of the solid obtained by rotating the first‐quadrant region bounded by y = 0.5x^2 and y = x about the line x = 3.

Answer 1

This is what i have so far. I know the radius is 3-x and i have to use the formula
dV= 2pi*r*h*dx

Answer 2

Is that correct so far?

Answer 3

@Loser66

Answer 4

You have 2 parts, so that, you have to write 2 integrals, right?

Answer 5

uhh i'm not sure?

Answer 6

For it, y = x is outer and y = 0.5x^2 is inner