BACHELOR OF BUSINESS ADMINISTRATION

Detailed explanation-1: -The area under a curve between two points is found out by doing a definite integral between the two points. To find the area under the curve y = f(x) between x = a & x = b, integrate y = f(x) between the limits of a and b. This area can be calculated using integration with given limits.

Detailed explanation-2: -An area bounded by two curves is the area under the smaller curve subtracted from the area under the larger curve. This will get you the difference, or the area between the two curves.

Detailed explanation-3: -To find the area between two curves, we think about slicing the region into thin rectangles. If, for instance, the area of a typical rectangle on the interval x=a to x=b is given by Arect=(g(x)−f(x))x, then the exact area of the region is given by the definite integral.

Detailed explanation-4: -First: the integral is defined to be the (net signed) area under the curve. The definition in terms of Riemann sums is precisely designed to accomplish this. The integral is a limit, a number.

Detailed explanation-5: -With definite integrals, we integrate a function between 2 points, and so we can find the precise value of the integral and there is no need for any unknown constant terms [the constant cancels out]. The area under a curve between two points can be found by doing a definite integral between the two points.