Rs Aggarwal Class 12 Methods of integration PDF

Rs Aggarwal Class 12 Methods of integration PDF

Welcome to sidclasses.in. Here we have provided RS Aggarwal Class 12 Methods of integration PDF which you can download very easily. Rs Aggarwal is a mathematics book based on NCERT with lots of questions to practice. If you have cleared your concept from NCERT maths book class 12 then now it’s time for you to go for the question of RS Aggarwal Class 12 Methods of integration PDF.

What are the methods of Integration?

There are several methods of integration that can be used to find the antiderivative of a function, including:

  1. The power rule: This method is used for integrals of the form ∫x^n dx, where n is a constant. The result is given by x^(n+1) / (n+1) + C.
  2. The substitution method: This method is used when the original integral is difficult to evaluate directly. It involves making a substitution of the variable of integration to simplify the integral.
  3. Integration by parts: This method is used when the integral is a product of two functions, such as ∫u(x)v'(x) dx. The result is given by u(x)v(x) – ∫v(x)u'(x) dx.
  4. Trigonometric identities: This method is used to evaluate integrals of form ∫f(x)sin(x) dx or ∫f(x)cos(x) dx.
  5. Trigonometric substitution: This method is used to evaluate integrals that involve the square root of a quadratic function.
  6. Partial fractions: This method is used when the integrand is a rational function, i.e. a function in the form of a fraction of polynomials
  7. Tables of integrals: This method is used for commonly encountered functions, such as ∫e^x dx or ∫1/x dx.

These are some of the basic and most used methods in integration.

It’s important to note that, sometimes no matter which method you use, you may not be able to find an explicit solution, in this case, one can use numerical methods to calculate the integral.

CH-13-Methods-of-integration

Rs Aggarwal Class 12 PDF (All Chapters)

Chapter no.chapter namepdf
1RelationsDownload
2FunctionsDownload
3Binary OperationsDownload
4Inverse Trigonometric FunctionsDownload
5MatricesDownload
6DeterminantsDownload
7Adjoint and Inverse Of MatrixDownload
8System of Linear EquationsDownload
9Continuity and DifferentiabilityDownload
10DifferentiationsDownload
11Applications of DerivativesDownload
12Indefinite IntegralsDownload
13Methods of integrationDownload
14Some Special integralsDownload
15Integration using Partial FunctionsDownload
16Definite integralsDownload
17Area of Bounded RegionsDownload
18Differential equations and their formationsDownload
19Differential equations with variable separableDownload
20Homogeneous Integral equationsDownload
21Linear Differential equationsDownload
22Vectors And Their PropertiesDownload
23Scalar, or Dot product of VectorsDownload
24Cross or vector products of VectorDownload
25Product of three vectorsDownload
26Fundamental Concepts of 3D GeometryDownload
27Straight Line in SpaceDownload
28The PlaneDownload
29ProbabilityDownload
30Bayes’s Theorem and its ApplicationsDownload
31Probability DistributionDownload
32Binomial DistributionsDownload
33Linear ProgrammingDownload

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