Integral of (5x+7)^28: Step-by-Step Solution

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Homework Help Overview

The discussion revolves around the integral of the expression (5x+7)^28, focusing on the application of substitution in integration techniques.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the substitution method, with one participant attempting to clarify the steps involved and questioning the appearance of an additional factor in the solution.

Discussion Status

The discussion includes attempts to verify the correctness of the integration process, with one participant expressing uncertainty about their solution. Another participant confirms the revised answer, indicating a potential resolution, though no explicit consensus is reached.

Contextual Notes

Participants reflect on mistakes made during the calculation, highlighting the importance of careful attention to detail in integration problems.

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Homework Statement


S=integral symbol
S(5x+7)^28


Homework Equations


Substitution


The Attempt at a Solution


let u = 5x+7
du = 5
S u^28 du
= (u^29)/29 du
= [5(5x+7)^29]/29

is this correct? I'm not sure...
 
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Where did the extra 5 come from?
 
nevermind i figured it out the answer is [(5x+7)^29]/145. stupid mistakes
 
Yea, that looks right.
 

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