Find the volume of the solid made by rotating the region bounded by the given curves around the x-axis.
y = 6x2, y = 0, and x = 1
V= A(x)*h where h = dx
The Attempt at a Solution
As I was taught in class, I tried using 6x2 as my radius, squaring it, and multiplying it by π, and integrating it (using dx as height of course). The lower limit of integration is 0, as given by the line y=0. The upper limit would need to be the value of y when x=1, which is 6. So, [itex]\int[/itex]36∏x^4 dx with the limits mentioned is what i get for my answer, however I am apparently wrong. What did I do wrong?
EDIT: Never mind, I see the dumb mistake I made in approaching this... it's time for me to go to bed, I've done nothing but study today and I probably need rest. Mods can delete if need be.