Functions, differentiation, and integration are only a few examples of calculating procedures. Integrals are used in a variety of domains, including mathematics, science, and engineering. In most cases, integral formulae are used to calculate area. So, let us begin with a quick introduction to integrals based on the Mathematics topic in order to determine areas under simple curves, areas limited by a curve and a line, and areas between two curves, as well as the application of integrals in mathematical disciplines and the solved problem.
A function whose derivative is another function is called an integral. The volume of three-dimensional objects and the area of two-dimensional regions are both computed via integration. As a result, defining the integral of a function in terms of x necessitates knowing the area of the curve in terms of the X-axis. The integral is also known as anti-derivative since it is the inverse of differentiation.
In this “Application of Integration - Mathematics II” you will learn about the following topics:
- Introduction to the application of integration
- Rectification
- Quadrature
- The area under a curve
- The area between the curves
- Numerical Integration
- Rectangular rule
- Trapezoidal rule
- Simpson's rule
- Volume
- Surface Area. B.
- Consumer's surplus & Producer's surplus
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This article Application of Integration - Mathematics II is contributed by Namrata Chaudhary, a student of Lumbini Engineering College (LEC).
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