Learning Partial Integration: Step-by-Step Guide

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Discussion Overview

The discussion revolves around the concept of partial integration, with participants seeking clarification on its meaning and application. The scope includes theoretical understanding and practical application of integration techniques, particularly in the context of multivariable functions and integration by parts.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant requests a detailed, step-by-step explanation of partial integration, expressing difficulty in understanding previous threads.
  • Another participant suggests that partial differentiation is similar to ordinary differentiation, prompting a question about the requester’s understanding of ordinary differentiation.
  • A participant questions whether the original request was for 'integration by parts' instead of partial integration.
  • Another participant clarifies that partial integration typically refers to integrating a multivariable function with respect to one variable while holding others constant.
  • A participant provides an example problem involving the integral of 3xcosx and states a proposed answer based on a reference table.
  • One participant asserts their understanding of integration and differentiation but admits to difficulties with integration, particularly outside the physics context.
  • Another participant reiterates their desire for comprehensive information about integration.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the definition of partial integration versus integration by parts, indicating a potential misunderstanding or ambiguity in terminology. The discussion remains unresolved regarding the specific request for information.

Contextual Notes

There is ambiguity in the terminology used, particularly between 'partial integration' and 'integration by parts.' Participants express varying levels of understanding and familiarity with integration concepts, which may affect the clarity of the discussion.

TheDestroyer
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Hi Guyz, Any one here can teach me the Partial Integration Step-by-Step?

I need to know every atom in the section, i tried to understand the previous written threads but didn't,

Thanks ...
 
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Originally posted by TheDestroyer
Hi Guyz, Any one here can teach me the Partial Integration Step-by-Step?

I need to know every atom in the section, i tried to understand the previous written threads but didn't,

Thanks ...

Well, my first response would be that partial differentiation is no different from ordinary differentiation, with the other variables taken to be literal constants.

But I have to ask: How well do you understand ordinary differentiation?
 
Or do you mean 'integration by parts?'

- Warren
 
Jeez, I didn't even notice that it said "integration". I saw "partial", and my brain just filled in the rest.

In that case, partial integration is usually taken to mean integration of a multivariable function over just one variable, with the others held constant.

So, Destroyer, is that what you mean, or do you mean integration by parts?
 
integral of 3xcosx dx is the problem.


3xsinx - 3cos x + C should be the answer base on the table.
 
Yes, ...

Yes I do understand Intergration and differentiation very well, i know how to get the derivative of anything, but because the integration is the opposite of differentiation, I'm getting some problems when trying to integrate some equation, especially I'm not in physics section, and i do need to make some researches on my own, hehehe
 
I meant ...

I just mean i want everything you know about intergration, and i would be very thankful for that :)
 

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