# RS Aggarwal Class 12 Solutions Chapter 15

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

### RS Aggarwal Class 12 Solutions Maths Chapterwise – Free PDF Download

Students will learn about partial fractions in integration with the help of **RS Aggarwal Class 12 Solutions Chapter 15**. Any fraction in algebra can be broken up into smaller pieces called “partial fractions.” Utopper gives step-by-step answers to all of the problems in RS Aggarwal Chapter 15 so that students can understand them better. On Utopper, these answers are given in a PDF file that can be downloaded for free. If students look at the RS Aggarwal Solutions for Class 12 Chapter 15, they will get a clear idea of how to integrate using partial fractions.

**Integration using partial fractions** is a chapter that goes over some of the most important ideas of integration. Students will need a lot of time and attention to prepare this chapter. By looking at Utopper’s free Study Materials like Revision notes Class 12 and Important Questions for Clas 12 for this chapter, students can clear up any questions they have and get a full understanding of the topics covered here.

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**RS Aggawal Class 12 Solutions Chapter 15 Integration Using Partial Fractions**

**RS Aggawal Class 12 Solutions Chapter 15 Integration Using Partial Fractions**

#### Integration using partial fractions by RS Aggarwal Class 12 Solution Chapter 15 PDF

Partial Fraction Decomposition

In RS Aggarwal Solutions for Class 12 Chapter 15, to solve the integration of an irrational function, you must first change it into a rational form. The integrand is written as the sum of simpler rational functions, which is also called breaking a function down into its parts.

**RS Aggarwal Class 12 Solutions**

## Chapter-1 Relation Solutions

## Chapter-2 Functions Solutions

## Chapter-3 Binary Operations Solutions

## Chapter-4 Inverse Trigonometric Functions Solutions

## Chapter-5 Matrices Solutions

## Chapter-6 Determinants Solutions

## Chapter-7 Adjoint and Inverse of a Matrix Solutions

## Chapter-8 System of Linear Equations Solutions

## Chapter-9 Continuity and Differentiability Solutions

## Chapter-10 Differentiation Solutions

## Chapter-11 Applications of Derivatives Solutions

## Chapter-12 Indefinite Integral Solutions

## Chapter-13 Method of Integration Solutions

## Chapter-14 Some Special Integrals Solutions

## Chapter-15 Integration Using Partial Fractions Solutions

## Chapter-16 Definite Integrals Solutions

## Chapter-17 Area of Bounded Regions Solutions

## Chapter-18 Differential Equations and Their Formation Solutions

## Chapter-19 Differential Equations with Variable Separable Solutions

## Chapter-20 Homogeneous Differential Equations Solutions

## Chapter-21 Linear Differential Equations Solutions

## Chapter-22 Vectors and Their Properties Solutions

## Chapter-23 Scalar, or Dot, Product of Vectors Solutions

## Chapter-24 Cross, or Vector, Product of Vectors Solutions

## Chapter-25 Product of Three Vectors Solutions

## Chapter-26 Fundamental Concepts of 3-Dimensional Geometry Solutions

## Chapter-27 Straight Line in Space Solutions

## Chapter-28 The Plane Solutions

## Chapter-29 Probability Solutions

## Chapter-30 Bayes’s Theorem and its Applications Solutions

## Chapter-31 Probability Distribution Solutions

## Chapter-32 Binomial Distribution Solutions

## Chapter-33 Linear Programming Solutions

#### Detail discussion of questions in RS Aggarwal Class 12 Solutions Chapter 15: Integration using Partial Fractions

- In the exercises for 15A, you will learn how to use the formula for integrating functions by parts in simple ways.
- In the answers to 15B’s more difficult problems, you’ll have to turn a given function into a simpler form of the products of two functions so that you can use the Integration by Partial Fractions method.
- By answering these practise questions, you’ll be ready for important national-level tests like JEE, BITSAT, NEET, and so on.
- You will be able to do better than your classmates if you practise the RS Aggarwal Class 12 Chapter 15 questions over and over again to make sure you understand the concepts.
- If you carefully answer these practise questions, you’ll be one step closer to getting into the college you want to get into to start your dream career.

##### Advantages of Learning From RS Aggarwal Class 12 Solutions Chapter 15 Integration Using Partial Fractions

- The solutions are written as per the CBSE guidelines to assist you score well in your examinations.
- Students can solve integration and differentiation problems with RS Aggarwal Solutions for Class 12 Maths Chapter 15. Integration and differentiation are said to be the foundations of advanced mathematics.
- These answers are prepared by the experts of Utopper who have more years of teaching experience.
- Students will be able to understand this idea better with the help of RS Aggarwal Class 12 Solutions Integration using partial fractions.
- These solutions are written during a simple manner to maximize retention and improve understanding of the concepts.
- Solutions of every chapter are well categorized to enhance the convenience of use during your revisions.

## FAQ ( Frequently Asked Questions )

**1. Why do math problems need partial fractions?**

Ans – First, you need to know what a partial fraction is. A partial fraction is a way to find the answers to the parts of a fraction problem that, when added together, give us the answer to the whole fraction problem. Often, we break the fraction into smaller parts to make it easier and faster to solve the problem.

Solving Integral Calculus is one place where the partial fraction is used quite often. On the other hand, sometimes you can’t even solve a problem by using the roots because there are still unknown variables. So the next step is to add up all the powers of x and then use a system of linear equations to find the answer.

**2. How much Integration Using Partial Fractions important on the JEE Main exam?**

Ans – Calculus is very important for the JEE Main exam. Calculus is useful not just for math, but also for physics. So, there’s no doubt that even the chapter on integrating using partial fractions is one of the most important and crucial ones for your JEE Main preparation. This chapter adds to what you already know about Calculus and should not be skipped at all.

**3. Is it helpful to study RS Aggarwal Class 12 Solutions Chapter 15 for my board exams? **

Ans – RS Aggarwal is a book that focuses on hard problems and is thought to be one of the best books to prepare for Class 12 Math in general. The problems in the book are a great way to learn about all the different parts of a chapter. In the same way, doing problems from this book will help you understand the material and do well on your board exams. When students are getting ready for their board exams, they should make sure to solve problems from their coursebooks first. The coursebook should come first, and problems from RS Aggarwal can be done to help them remember what they know for the test.