Find the area of the region bounded by the curve

Question

Find the area of the region bounded by the curve r=6e^θ on the interval 5π/6 ≤ θ ≤ 2π

Answer 1

Area S = ∫_5π/6^2π18e^2θdθ = 9e^2θ_5π/6^2π = 9(e^4π - e^5π/3) = 2579070.587