Define R as the region bounded by the functions f(x) = (x²)/3 and g(x) = 1/(4x) between x = 2 and x = 4. Choose the integral below that describes the volume of the solid created by rotating R around t?
1) ∫[2,4] π[(x²)/3 - (1/(4x))²] dx
2) ∫[2,4] π[(x²)/3 + (1/(4x))²] dx
3) ∫[2,4] π[(x²)/3 - (1/(4x))] dx
4) ∫[2,4] π[(x²)/3 + (1/(4x))] dx