12

Integral Calculus (Indefinite and Definite Integration)

LEARNING OBJECTIVES

After studying this chapter, you will be able to understand:

  • Basic concepts of indefinite and definite integration
  • How to find indefinite and definite integration by using direct formulae
  • Certain applied formulae of indefinite and definite integration
INTRODUCTION

Integration is one of the most important fundamental operations in calculus. Its theory and ideas are basically dependent upon the concept of derivative.

Applications of Integration are widely used in mathematics, statistics and mathematical economics.

CONCEPT OF INTEGRATION

Anti-derivative is called integration.

 

DEFINITION

 

 

Integrate (1) with respect to ‘x’

 

 

where c is integral constant. ...

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