How Do You Solve the Integral (1+y^2)/(1-y) dy Using Substitution?

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Homework Help Overview

The discussion revolves around solving the integral of the function (1+y^2)/(1-y) with respect to y. Participants are exploring various methods of substitution and manipulation to approach the problem.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants have suggested different substitution methods, such as letting u=log(1-y) and making the substitution 1-y=t. There is also a suggestion to divide the expression to simplify the integral. Some participants question the original poster's attempts by asking for more details on what has been tried.

Discussion Status

The discussion includes various suggestions and methods being explored, with some participants expressing frustration over the lack of detail in the original poster's attempts. There is acknowledgment of a successful method shared by one participant, but no explicit consensus on a single approach has been reached.

Contextual Notes

There is a mention of the original poster being away for a few days, which may have affected the flow of the discussion. Additionally, some participants express concern over the engagement level of others in the thread.

jason.bourne
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how do i solve this integral

integral of [ (1+y^2) / (1-y) ] dy

??

i tried my best but i couldn't solve.
help me out please.
 
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jason.bourne said:
how do i solve this integral

integral of [ (1+y^2) / (1-y) ] dy

??

i tried my best but i couldn't solve.
help me out please.

You say you've tried your best; but you haven't shown exactly what you've tried.

So...what methods have you tried?
 


let u=log(1-y)
 


The first thing I would do is divide that out.
 


This is ridiculous. Obviously Jason Bourne hasn't even bothered to look back at this thread.
 


guys,
m sorry i couldn't reply. i was away for few days.

thank you very very very much for your replies.
i apologize for not replying.

thanks lurflurf ur method did work.
once again sorry for the late response.

thank you guys.
 


Make the substitution

[tex]1-y = t[/tex]. Can you rewrite the integral in terms of 't' ?
 

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