A region R is bounded by y= sqrt(x) and y = x^6. Set up the integral to find the volume V of the solid formed by rotating R around the x-axis and then find the volume.

Question

A region R is bounded by y=  sqrt(x)  and y = x^6. Set up the integral to find the volume V of the solid formed by rotating R around the x-axis and then find the volume.

V = ∫ (with bounds), = (exact value)

Bot · Answer

V = ∫x√x - x^6 dx, from 0 to 1 = [2/3 - 1/7] = 5/21

oobleck · Answer

how about you try some of these, bill? The ai bot is clearly wrong.