CALCULUS:)

The volume of the solid formed by rotating the region about the x-axis is calculated using the formula for the volume of a solid of revolution, V = ∫2π a2yds. The outer radius a for this region is 1, and the inner radius is 0 since we are rotating about the x-axis. The distance, ds, is equal to 9+x^4. Therefore, we get the equation V = ∫2π 01^2 y [(9+x^4)]dx. After computing the indefinite integral we get: V = 8π/105. Hence, the volume of the solid formed by rotating the region enclosed by x=0, x=1, y=0, y=9+x^4 about the x-axis is 8π/105.