Beautiful Sunset Painting by Artist

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Homework Help Overview

The discussion revolves around a mathematical problem involving integration and substitution techniques, specifically related to the integral of a function involving an exponential term.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the appropriateness of the substitution used in the integration process, questioning the choice of variable and the inclusion of differential elements. There are attempts to clarify the correct form of the integral after substitution.

Discussion Status

Participants are actively engaging in clarifying the substitution method and addressing potential mistakes. Some guidance has been offered regarding the correct approach to the integral, but there is no explicit consensus on the overall correctness of the original work.

Contextual Notes

There are indications of confusion regarding the use of differentials in substitution, and participants are reflecting on the implications of their choices in the integration process.

nomi
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http://img.photobucket.com/albums/v124/mugenlude99/myhw1.jpg

did i do this correct?

thanks
 
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There's something wrong, you shouldn't do u = e^-x dx, only u = e^-x and when you say -du = e^-x dx, you have to substitute it completely in the integral i mean -\int { tan(u)du}
 
Cyclovenom said:
There's something wrong, you shouldn't do u = e^-x dx, only u = e^-x and when you say -du = e^-x dx, you have to substitute it completely in the integral i mean -\int { tan(u)du}
i think i know what you're saying, but i took the -1 out since its a constant.

:confused:
 
that's ok, I'm talking about your substitution... You should not pick u = e^-x dx, why without dx? you will know why not later, and if you have a -du = e^-x dx, you should not have -\int {tanu dx} you should have -\int {tanu du} see what i mean?, remember in your du you have the dx.
 
Cyclovenom said:
that's ok, I'm talking about your substitution... You should not pick u = e^-x dx, why without dx? you will know why not later, and if you have a -du = e^-x dx, you should not have -\int {tanu dx} you should have -\int {tanu du} see what i mean?, remember in your du you have the dx.
oh sorry yeah that is a careless mistake, but other than the dx it's ok?
 
nomi said:
oh sorry yeah that is a careless mistake, but other than the dx it's ok?

Aside from that it looks good to me.
 
NateTG said:
Aside from that it looks good to me.
ok thanks a lot guys :)
 

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