Write an integral expression for the area for ...
the shaded region
The function we need for the integrand is
f(θ) = sin θ.
We need to find the limits that make sense for θ in this region. The region starts at and ends at the smallest angle β in the second quadrant with a cosine of . That would be
We put α, β, and f(θ) into the formula to get an integral expression for hte area of the shaded region: