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Calculus: Differentiation and Integration, 1st Edition
book

Calculus: Differentiation and Integration, 1st Edition

by ICFAI
April 2024
Intermediate to advanced content levelIntermediate to advanced
710 pages
20h 50m
English
Pearson India
Content preview from Calculus: Differentiation and Integration, 1st Edition
12-1
L e a rnin g Obje c ti v e s
After reading this chapter, you will be conversant with:
Integration by Substitution
Integration of Functions of the Form
1
2
ax bx c+ +
and
Ax B
ax bx c
+
+ +
2
Integration by Parts
Integration of Exponential Functions
Integration of Trigonometric Functions and Their Reduction Formulae
Introduction
As discussed in the previous chapter, the problem of evaluating an integral f x dx( )
ò
is equivalent to
obtaining a function, F such that dF(x) = f(x) dx. At times, seeing the integral we may feel that it is a
very difficult task. For instance, seeing the integrals such as e dx
x
2
ò
,
sin
cos
,
sec
xe
x
dx
x
2
ò
e
t
dt
t
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Publisher Resources

ISBN: 9789353948221