The integrals below give the area of a region in the xy-plane. Sketch the region, label each bounding curve with its equation, and give the coordinates of the points where the curves intersect. Then find the area of the region. ∫0 π4 ∫2sinx 2cosx dy dx Sketch the region, label each bounding curve with its equation, and give the coordinates of the points where the curves intersect. Choose the correct answer below. A. B. C. The area of the region is (Type an exact answer, using radicals as needed.)