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# RD Sharma Class 12 Solutions Chapter 19 - Indefinite Integrals (Ex 19.30) Exercise 19.30 Last updated date: 02nd Dec 2023
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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 Vedantu.com. 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.

## 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.

 Symbols/Terms/Phrases Meaning ∫ f(x) dx Integral of ‘f’ with respect to ‘x’ f(x) in ∫f(x) dx Integrand x in ∫f(x) dx Variable of integration Integrate Find the integral An integral of ‘f’ A function F such that F′(x) = f (x) Integration The process of finding the integral Constant of Integration Any real number C is considered a constant function

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).