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Engineering Mathematics by C. Vijayakumari, P. Sivaramakrishna Das

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6

Integral Calculus

6.0 INTRODUCTION

Calculus is one of the remarkable achievements of human intellect. It is a collection of fascinating and exciting ideas rather than a technical tool. Calculus has two main divisions ‘differential calculus’ and ‘integral calculus’.

Both had their origin from geometrical problems.

Integral calculus had its origin from the problem of area and differential calculus had its origin from the problem of tangent to a curve.

The term integration means summation. Infact definite integral is the process of finding a limit of a sum.

The integration symbol ‘∫’ was divised by stretching the summation symbol ‘∑’ conveying the meaning of the process.

6.1 INDEFINITE INTEGRAL

We consider indefinite integral as reverse process ...

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