Write an integral expression for the area for ...
the region below the x-axis and above the graph of the polar function r = sin θ – 1
If we graph r = sin θ – 1 for 0 ≤ θ ≤ π, we get the boundary of the region we're looking for, traced from left to right:
This means we want α = 0 and β = π. The area of the region is