## RD Sharma Class 12 Solutions Chapter 19 - Indefinite Integrals (Ex 19.10) Exercise 19.10 - Free PDF

## FAQs on RD Sharma Class 12 Solutions Chapter 19 - Indefinite Integrals (Ex 19.10) Exercise 19.10

**1. Defined versus Infinite integrals: what's the difference?**

An indefinite integral does not have a limit to its integration. Defining a number as a definite integral implies the lower and upper limits are constant. Indefinite integrals represent the derivatives of a family of functions. Every function is different from every other function in the family.

**2. When is the integral symbol used?**

It is possible to find indefinite integrals by simply omitting the limits of integration from the integral key, which is used to find definite integrals.

**3. How does Sigma Notation work?**

Sigma notation is sometimes used to compactly represent the sum of similar terms. It is a Greek upper-case letter ∑ that means "add up all of the following."

Riemann sums can be written with the Sigma notation \displaystyle \sum_{i=1}^{n} (f(x_i)\Delta x)i=1∑n(f(xi)Δx).

It can be read aloud as "the sum from i equals 1 to n of f of x sub i delta x."

**4. What is the procedure for finding the indefinite integral?**

A process of finding the indefinite integral of a function is also known as integration or integrating f(x). It can be expressed as follows:

∫f(x)dx = F(x) + C, where C is any real number.

For the antiderivative of a function, we generally use appropriate formulas.

Hence, an indefinite integral yields a function.

**5. Indefinite integrals represent what?**

An indefinite integral corresponds to a family of functions whose derivatives are f. In the process of integration, only indefinite integrals contain a real number C.