Integration: (3x^2+5x+1)^3(6x+5) - Should I Use Table Method?

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Homework Help Overview

The problem involves integrating the expression ((3x^2)+5x+1)^3 (6x + 5), with a specific inquiry about the applicability of the table method for integration.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the structure of the integrand, noting its resemblance to the form f'(g(x))*g'(x) and explore the potential for using u substitution.

Discussion Status

Some participants have provided suggestions regarding methods of integration, including the table method and u substitution, while others are exploring the implications of the integrand's structure.

Contextual Notes

The original poster is seeking guidance on the integration method without providing a complete solution or further context about any constraints or specific requirements for the homework.

naspek
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how to integrate ((3x^2)+5x+1)^3 (6x + 5) ?
should i use table method?
 
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Your integrand is of the form f'(g(x))*g'(x) (' denotes a derivative). How can you use that?
 
Try a u substitution.
 
got it! thanks guys! =)
 

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