Rules for all calculations regarding integration

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Homework Help Overview

The discussion revolves around the topic of integration in mathematics, specifically focusing on the fundamental rules and applications associated with it. The original poster seeks clarification on the necessary rules for calculations involving integration and expresses interest in understanding its applications.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to gather a comprehensive list of rules for integration and is interested in its practical applications. Some participants provide resources and examples of where integration is applied, such as in calculating volumes and probabilities.

Discussion Status

The discussion is ongoing, with participants sharing resources and examples related to integration. While some guidance has been offered, there is no explicit consensus on the rules or applications, and multiple interpretations of the topic are being explored.

Contextual Notes

The original poster has requested a list of fundamental rules, indicating a possible constraint in their current understanding of integration. There is also an implication that the topic may be complex, which could affect the depth of responses.

pavadrin
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Hey
I’ve now come across integration in my maths course for my first time. I was wondering if somebody out there might be able to help me with a couple issues regrading this topic. Firstly I would appreciate if I could be told all the necessary rules for all calculations regarding integration. If this list is too long and/or complicated then please only list the fundamentals for this concept. Secondly I would like to know about possibly applications for this integration concept.
Thank you greatly to those who reply,
Pavadrin
 
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Integration can be used to calculate volumes, centres of mass, moment of inertia, work done by a force, the displacement from velocity, velocity from acceleration, etc. It can also be used to find probabilities, arc lengths of curves, surface area of 3D shapes, shortest distance between two points on a surface, and many other places. So, integration is very, very important.
 
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thanks for the link nazzard
 

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