Can You Help Me Integrate $\sin(u) + u^6$ Correctly?

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    Hard Integration
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Discussion Overview

The discussion revolves around the integration of the expression $\sin(u) + u^6$. Participants seek assistance in correctly performing the integration and clarifying the structure of the expression.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant requests help with integrating the expression, indicating repeated difficulties in obtaining the correct answer.
  • Another participant suggests a substitution of $t = \sin x$, although it is unclear how this relates to the integration of the given expression.
  • A participant emphasizes the importance of correctly placing parentheses, clarifying that the expression is $\sin(u) + u^6$, which they assert is easier to integrate than $\sin(u + u^6)$.
  • Following the clarification, another participant expresses understanding, suggesting that the correction helped them grasp the problem better.

Areas of Agreement / Disagreement

There appears to be some agreement on the importance of correctly interpreting the expression, but the discussion does not resolve the integration method or confirm a consensus on the best approach.

Contextual Notes

Participants have not fully explored the implications of the substitution suggested, nor have they detailed the steps of integration, leaving some assumptions and methods unaddressed.

jaychay
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Untitled 3.png


Can you please help me ?
I have tried to do it many times but still got the wrong answer.
Thank you in advance.
 
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Make the substitution $t = \sin x$.
 
Opalg said:
Make the substitution $t = \sin x$.
Untitled 5.png
I am stuck here
Can you please help me ?
 
Get the parentheses in the right place! It's not $\sin(u+u^6)$, but $\sin(u) + u^6$, which is much easier to integrate.
 
Opalg said:
Get the parentheses in the right place! It's not $\sin(u+u^6)$, but $\sin(u) + u^6$, which is much easier to integrate.
Thank you very much
I understand now
 

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