Parabolas constitute fascinating geometric structures. They exhibit a unique trait: every position on a parabola is the same distance from a special point called the center. This property gives rise to the well-known appearance of a parabola, often described as a symmetrical curve that opens either downwards. In geometry, parabolas have many uses

In calculus, determining the area under a parabola represents a fundamental concept. This region is limited by the parabola's curve, the x-axis, and two specific x- lines representing the endpoints of integration. To find this area, we employ the definite integral, which provides a precise determination of the area under the curve. The result of th