Let be the area of the region bounded by the curve and the tangent line to the curve at . If , where and are coprime positive integers, what is the value of ?
Let be the area of the region bounded by and . Let be the area of the region bounded by and where . If , what is the value of ?
Let be the area of the region bounded by the -axis and the graph of , where . What is the value of ?
Let be the area of the region bounded by the curves and . Let be the area of the region bounded by the curves and where is a positive integer strictly greater than 1.
If and are coprime positive integers, and and , what is ?
The area bounded by the parabola and the -axis is divided into two regions by the line . If is the region above and is the region below , then , where and are coprime positive integers. What is the value of ?