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RD Sharma Class 12 Solutions Chapter 19 - Indefinite Integrals (Ex 19.30) Exercise 19.30

Last updated date: 29th May 2024
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RD Sharma Class 12 Solutions Chapter 19 - Indefinite Integrals (Ex 19.30) Exercise 19.30 - Free PDF

The download of RD Sharma Class 12 Solutions Chapter 19 - Indefinite Integrals Exercise 19.30 solved by Expert Mathematics Teachers on All Chapter 19 - Indefinite Integrals Ex 19.30 Questions with Solutions for RD Sharma Class 12 Maths to help you 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 Chapter 19 Indefinite Integrals Ex-19 R D Sharma

An Indefinite integral is an integration without limits; antiderivative is nothing but the indefinite integral. If F(x) is the antiderivative of the function G(x), then the most general antiderivative of the G(x) is called Indefinite Integral. Representation of indefinite integral:

∫G(x)dx = F(x)+C 

Where C is the constant of integration.

Integral in mathematics is the numeric value or the area under the graph of the expression.



∫ f(x) dx

Integral of ‘f’ with respect to ‘x’

f(x) in ∫f(x) dx


x in ∫f(x) dx

Variable of integration


Find the integral

An integral of ‘f’

A function F such that F′(x) = f (x)


The process of finding the integral

Constant of Integration

Any real number C is considered a constant function 

Download the solutions of RD Sharma Class 12 Indefinite Integrals

Experts have provided the solutions of Exercise 19.30 of the Indefinite integrals concerning the CBSE guidelines. All you need to do is sign in with your Google or any other email id. These solutions will help students understand the concepts of integrals and revise the same readily.

For more materials related to Class 12 CBSE, register for the Vedantu online class and get to learn from the best maths teacher.

FAQs on RD Sharma Class 12 Solutions Chapter 19 - Indefinite Integrals (Ex 19.30) Exercise 19.30

1. Explain the difference between indefinite and definite integrals?

Definite integral possess the upper and lower limits, and it does not have the constant of integration like you notice in indefinite integrals. Definite integral after solution gives you a numeric value because of the involvement of limits, but in indefinite integral, you integrate a function and add an arbitrary constant. You can download the Class 12 notes from the Vedantu website to read a detailed explanation.

2. What is the indefinite integral of 0?

You know that indefinite integral doesn’t have limits involved, and it has constant integration. Also, you are aware that the differentiation of any constant is zero, and an indefinite integral is nothing but antiderivative. So, it is natural that zero produces the class of arbitrary constant when you integrate it. You should remember one thing, the definite integral of zero ‘0’ over any interval is ‘0’. For more details follow our expert teacher of maths join the Vedantu pro class for 12, and clear all your doubts from them.

3. What is the weightage of Indefinite Integral in the Class 12 board examination?

Calculus is one of the highest weightage carrying chapters in the syllabus of Class 12 maths. It covers the indefinite integrals and application of the integrals. To score good marks in your board exam RD Sharma of Class 12 Chapter 19 provides you with plenty of questions. RD Sharma has designed the questions to help you learn the basics of integrals that further assist you in your examination and competitive exams like JEE (Joint entrance exam).

4. How to download other resources of Class 12?

You can download all the available resources of Class 12 from the Vedantu. Vedantu offers important topic notes and solutions to the NCERT exercise problems. Also, you can find the answers to different exercises of the RD Sharma that is one of the most looked forward reference books for Class 12th. To download all these, you need an email id to sign in. Class 12 is an essential part of life, and to turn it into the best, join the Vedantu pro classes to learn from the best faculties.

5. How to read RD Sharma?

RD Sharma is the most rated reference book for the Class 12 board exam and other engineering entrance exams. But before solving the RD Sharma, students have to understand the NCERT and its exercise problems once they finish the textbook and get good conceptual knowledge; it is the best time to solve the higher level of questions covered in the Class 12 RD Sharma. These questions will help you retain the concepts in the long run.