Parabolas constitute fascinating geometric shapes. They exhibit a unique trait: every point on a parabola is the same distance from a designated point called the center. This feature gives rise to the well-known shape of a parabola, often characterized as a balanced curve that opens either upwards. In geometry, parabolas have numerous application

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