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RD Sharma Class 12 Solutions Chapter 19 - Indefinite Integrals (Ex 19.11) Exercise 19.11

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Last updated date: 17th May 2024
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RD Sharma Class 12 Solutions Chapter 19 - Indefinite Integrals (Ex 19.11) Exercise 19.11 - Free PDF

Free PDF download of RD Sharma Class 12 Solutions Chapter 19 - Indefinite Integrals Exercise 19.11 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 19 - Indefinite Integrals Ex 19.11 Questions with Solutions for RD Sharma Class 12 Maths to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

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About Class 12 Solutions to RD Sharma

The indefinite integral is the type of integral used in calculus. It is most often denoted by the symbol and refers to the area bounded by a curve Cover some interval I in its x-y plane. This can be thought of as an area that remains unchanged under repeated applications of integrands - or, more generally, every time a function is multiplied by a constant throughout an interval.


The integral is a generalization of the notion of area, used in calculus, topology, and projective geometry. The main reason for its popularity is that it is a much simpler procedure to define than an area, as it does not require the use of limits or infinitesimals. 


Solutions of RD Sharma at Vedantu

RD Sharma is a comprehensive book for Class 12 Maths preparation. The questions are a bit tough but the solutions are available in a PDF format at Vedantu.com.


We also have complete online coaching for Class 12 Maths preparation with expert teachers. For more details please contact Vedantu.com and get an instant FREE demo class online by our experts shall be conducted for you to understand the quality of our content and the level of our teaching. Vedantu is a famous website that provides solutions and guides students with free resources.


You can solve the following Ex 19.11 online in free printable PDF format. Question with answer key to obtaining 50% marks and complete answers.


Exercise 19.11 - Free PDF Questions with Solutions for RD Sharma Class 12 Maths to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

FAQs on RD Sharma Class 12 Solutions Chapter 19 - Indefinite Integrals (Ex 19.11) Exercise 19.11

1. How is RD Sharma's book for Class 12 exam preparation?

RD Sharma's book is one of the top books for Class 12 Maths exam preparation. The questions are of basic as well as advanced level. All the solutions are provided by Vedantu in PDF format for the reference of the students. These PDFs are available for free. So the students can download them and refer to them while preparing for the examination. You can solve the questions without preparation and yet score well in the Class 12 Maths exam as you are going to do a lot of calculations.


Solutions for all the questions are very easy to find and understand, even if you don't want to prepare for exams. The author has provided efficient strategies so that you can easily understand all the concepts. The book covers all essential topics like - algebra, geometry, trigonometry, etc, gives you enough time to solve any question and review it again, solves difficult problems with a logical solution which makes shifting into higher levels easier and quicker.

2. Where can I get RD Sharma solutions?

Vedantu has all the solutions of RD Sharma chapters. These solutions are arranged chapter-wise in PDF. Here you can get solutions of RD Sharma chapters like Calculus, Algebra, Arithmetic Progressions, etc. Here students who need to get help with their assignments or for other purposes can find it easy and convenient.

3. How are the solutions for the RD Sharma class?

The RD Sharma is an excellent book, which gives very good solutions to all your mathematical queries. The solutions are provided in a very lucid manner and hence you can easily understand them and solve the problems on your own. The solutions are of high quality and can be trusted blindly. If you want to know more about this PDF then you may refer to the reviews given by other students on our website Vedantu.com.

4. What are indefinite integrals?

An indefinite integral is an expression for finding change over time. It is often used in trigonometric functions as well as other types of functions that have derivatives. The way it works is by taking two points at various times to form a line. This allows us to figure out the unknown right-hand side of an equation in one step instead of two as we would typically do with regular integrals. In RD Sharma's book, you will find out what an indefinite integral is, how to solve the definite integral with a given function and its derivatives using the definite integral formula, and how to find the indefinite integral of a given function.

5. What are the topics under indefinite integrals?

In mathematics, an indefinite integral is a type of integral where the area under the curve cannot be computed. A good example of indefinite integrals is Area = ∫x/100 dx. The infinite series obtained by adding together all of the fractions in this example will not converge, and so the area under the curve cannot be found with any known technique.


Indefinite integrals can be neither defined nor solved for general functions. However, they can still provide useful information about functions they represent: For instance, we might use them to explore whether or not a region is bounded and how we would know this fact.