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Definite Integrals

Definite Integral – Definition, Formulas, Properties and Solved Examples | Class 12 Math Notes Study Material Download Free PDF

January 10, 2025 by Neeraj Anand, Param Anand
An integral assigns numbers to functions in mathematics to define displacement, area, volume, and other notions that arise by connecting infinitesimal data. The process of finding integrals is called integration. Definite integrals are used when the limits are defined to generate a unique value. Indefinite integrals are implemented when the boundaries of the integrand are not specified. In case, the lower limit and upper limit of the independent variable of a function are specified, its integration is described using definite integrals. Also, we have several integral formulas to deal with various definite integral problems in maths.

An integral assigns numbers to functions in mathematics to define displacement, area, volume, and other notions that arise by connecting …

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Area Under The Curve Using Integration | Class 12 Math Notes Study Material Download Free PDF

January 11, 2025 by Neeraj Anand, Param Anand
In calculus, we have seen definite integral as a limit of a sum and we know how to evaluate it using the fundamental theorem of calculus. In the upcoming discussion, we will see an easier way of finding the area bounded by any curve and x-axis between given coordinates. To determine the area under the curve we follow the below method.

In Calculus, we have seen definite integral as a limit of a sum and we know how to evaluate it …

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Area under Curves – Tricks for Solving Area under Curves | Class 12 Math Notes Study Material Download Free PDF

January 11, 2025 by Neeraj Anand, Param Anand
If the area under one curve and another curve can be found, then the area between the curves can be calculated.

Important Concepts on Area under the Curves If the area under one curve and another curve can be found, then …

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Application of Integrals MCQs (With Answers) | Class 12 Math Notes Study Material Download Free PDF

January 11, 2025 by Neeraj Anand, Param Anand
Check out the class 12 maths chapter 8 application of integrals multiple-choice questions. Each mcq has four options, but only one of them is correct. Students must select the appropriate option and compare their results to the solutions on this page. Also, check important questions for class 12 maths.

MCQs on Class 12 Maths Chapter Application of Integrals Check out the Class 12 Maths Chapter 8 Application of Integrals …

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Area Between Two Curves Using Integration | Class 12 Math Notes Study Material Download Free PDF

January 11, 2025 by Neeraj Anand, Param Anand
As we all know, integration means calculating the area by dividing the region into many elementary strips and then adding up these elemental areas. We can calculate the area bounded by a curve and a line between a given set of points at this stage. In the upcoming discussion, you will learn how to find the enclosed area between two curves in calculus with two cases and examples.

As we all know, integration means calculating the area by dividing the region into many elementary strips and then adding …

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