In this chapter, we have acquired the knowledge of

**Summary**

In this chapter, we have acquired the
knowledge of

·
**The
relation between the Primitive function and the derived function:**

A function F (x) is said to be a
primitive function of the derived function f (x) , if d/dx [ F (*x*)]=
*f* (x)

·
**Integration
of a function:**

The process of determining an integral
of a given function is defined as integration of a function

·
**Properties
of indefinite integrals:**

∫a*f* (*x*)
dx = a ∫ *f* (*x*) d*x*

∫ [*f*
(*x*) ± g (x) dx = ∫ f (x) dx ± ∫ g (x)
dx

·
**Standard
results of indefinite integrals:**

·
**Definite
integral:**

Let f ( x) be a continuous function on
[a,b] and if F(x) is anti derivative of f (x) , then

·
**Properties
of definite integrals:**

·
**Particular
case of Gamma Integral: **

If n is a positive integer, then

·
**Properties
of gamma function: **

(i) ┌(n) = (n-1) ┌ (n-1) , n > 1

(ii) ┌(n+1) = n┌ (n) , n > 0

(iii)
┌ (n + 1) = n!, n is a positive integer

(iv) ┌ ( 1/2 ) = √π

·
**Definite
integral as the limit of a sum:**

Let f (x) be a continuous real valued
function in [a , b], which is divided into n equal parts each of width h , then

·
**Results:
**

Tags : Integral Calculus - I , 12th Business Maths and Statistics : Chapter 2 : Integral Calculus - I

Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail

12th Business Maths and Statistics : Chapter 2 : Integral Calculus - I : Summary | Integral Calculus - I

**Related Topics **

Privacy Policy, Terms and Conditions, DMCA Policy and Compliant

Copyright © 2018-2024 BrainKart.com; All Rights Reserved. Developed by Therithal info, Chennai.