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.
