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RS Aggarwal Class 12 Solutions Chapter-15 Integration Using Partial Fractions

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Last updated date: 29th Mar 2024
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MVSAT 2024

Class 12 RS Aggarwal Chapter-15 Integration Using Partial Fractions Solutions- Free PDF Download

With RS Aggarwal Class 12 Maths Chapter 15 Solutions, students will be learning the concepts of partial fractions in integration. Any algebraic fraction could be broken down into smaller parts known as ‘partial fractions’. Vedantu provides step-by-step solutions to every sum provided in RS Aggarwal Chapter 15 for an easy understanding of students. These solutions are provided in a PDF format on Vedantu and can be downloaded for free. Students will get a clear idea of integration using partial fractions by referring to the Class 12 RS Aggarwal Chapter 15 Solutions.


Integration using partial fractions is a chapter that covers some of the most important concepts of integration. To prepare this chapter students will require a good amount of time and focus. By referring to the free solutions of this chapter on Vedantu, students can clear all their doubts and get a holistic understanding of the topics covered here.


Students are suggested to master the basics of integration before solving the sums of this chapter. Only after building a strong base, they will be able to master the concept of integration using partial fractions.

Competitive Exams after 12th Science

RS Aggarwal Class 12 Integration Using Partial Fractions Solution PDF

Partial Fraction Decomposition

When it comes to solving the integration of an irrational function in RS Aggarwal Solutions for Class 12 Maths Chapter 15, one needs to reduce it to a proper rational form in the first place. The integrand is expressed as the sum of simpler rational functions which in other words is also said to be the decomposition of functions into partial form.


Tips for Learning the Concepts of RS Aggarwal Class 12 Chapter 15 Solutions

When it comes to learning about advanced mathematics concepts, one needs to keep their mind open and focused at the same time to understand the usage of particular terms. Below, we have pointed out some of the tips that will help you master the sums covered in Chapter 15 of Class 12 RS Aggarwal.

  • The RS Aggarwal Class 12 Chapter 15 Solutions may tempt you to refer to the solutions of the sums before you solve them.However, that’s the one thing you need to avoid when you are solving the sums.

  • On the other hand, read the question twice before you begin to solve it

  • Students may make silly mistakes like writing down incorrect values when they are in a hurry.

Benefits of Studying From RS Aggarwal Class 12 Integration Using Partial Fractions

Some benefits of referring to the RS Aggarwal Class 12 Integration using partial fractions are listed below.

  • With RS Aggarwal Solutions For Class 12 Maths Chapter 15 students get to solve sums on integration and differentiation which are said to be the pillars of advanced mathematics.

  • RS Aggarwal Class 12 Integration using partial fractions solutions, will help to establish a strong base, for understanding this concept, among students. 

 

Use of Integration and Differentiation in Daily Lives

Both integration and differentiation are the tools for solving mathematics problems. These two tools are used to calculate the rate of change. Thus, you can find out the rate of change of velocity for time and find a rate of change of x for X and Y graphs, which is also known as the gradient of the curve.

 

Historically, sailors used differentiation to understand how the earth, stars, and planets move with respect to each other, which helps them find their way in the sea. These two mathematics tools will help you solve most of the real-world problems such as finding out the maximum and the minimum value of the things that could be cost, profit, loss, or even a quantity.


Vedantu has given RS Aggarwal Class 12 Integration Using Partial Fractions Solution PDF for the ease of students. So if they are stuck somewhere, or the answer they get doesn’t match the final answer, they may refer to the solutions PDF and find the step-by-step answers to the sums RS Aggarwal Class 12 Integration Using Partial Fractions Solutions are solved by top experts in an easy to understand manner for the convenience of students.

FAQs on RS Aggarwal Class 12 Solutions Chapter-15 Integration Using Partial Fractions

1. Why do we need Partial Fractions in Mathematics?

One needs to know what a partial fraction is in the first place, a partial fraction is a method to find out the solution to the particular parts of the fractions which then combined will give us the answer to the whole fraction equation. Often, we break the fraction into smaller units because it will help solve the problem much quicker and in an easier way.


One of the examples where the partial fraction is being used quite often is solving the Integral Calculus. On the other hand, sometimes a problem might not even be solved using the roots as you can still end up having unknown variables. So the next thing you do is take all the powers of x together and then use a system of linear equations to get to the answer.

2. How do I study Integration using Partial Fractions for Class 12?

Integration using partial fractions needs a good amount of practice and attention from students. The best way to master the topic is by understanding the basics well from the chapters that came before and by using some really useful tricks to solve problems well. A very important chapter like this, with respect to many competitive exams, requires the right strategy and approach to be solved. The subject experts at Vedantu have curated master strategies to solve and understand the topic of Integration using partial fractions for students of class 12. The important tricks that can be used to solve the sums of Chapter 15 Integration Using Partial Fractions from Class 12 RS Aggarwal can be learned from these solutions.

3. How important is Integration Using Partial Fractions in the JEE Main examination?

For the JEE Main examination, Calculus is crucial. Not only for the subject of mathematics alone, but calculus is also useful for physics too. Therefore, there is no denying the fact that even the chapter on Integration using partial fractions adds to the list of some really important and crucial chapters for your preparation of JEE Main. This chapter serves as an additional asset to your overall knowledge of Calculus and must not be skipped at all.

4. Is studying from Chapter 15 Class 12 from RS Aggarwal helpful for my board examinations?

RS Aggarwal is a book that focuses on complex problems and is considered one of the best books to prepare for Class 12 Mathematics in general. The problems in the book are a great way to understand the complexities of a chapter in the best way. Similarly, solving problems from this book will definitely help you in understanding and scoring well in your board examinations too. It is advised to make sure that students are solving problems from their coursebooks first when they are preparing for their board examinations. The coursebook must be given the first priority and problems from RS Aggarwal can be solved to solidify their knowledge for the exam.