Need help finding an antiderivative

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    Antiderivative
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Homework Help Overview

The discussion revolves around finding the antiderivative of the integral ∫ 36/(2x + 1)³ dx. Participants are exploring methods to approach this problem within the context of calculus.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster expresses confusion about how to handle the expression (2x + 1)³ in the integral. One participant suggests using u-substitution with u = 2x + 1 as a potential approach.

Discussion Status

The conversation indicates that some participants are clarifying their understanding of the problem and the relevant theorems. There is acknowledgment of initial confusion regarding the application of the fundamental theorem of calculus, but no consensus has been reached on the best approach.

Contextual Notes

One participant mentions a misunderstanding related to the directions in their textbook, which contributed to their initial uncertainty about the problem.

leesa
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need help finding an antiderivative!

Homework Statement


1
∫ 36/ (2x + 1) ^3 dx
0
I just can't figure out how to take the antiderivative of this! What do I do with the (2x +1) ^3??

Homework Equations





The Attempt at a Solution

 
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leesa said:

Homework Statement


1
∫ 36/ (2x + 1) ^3 dx
0
I just can't figure out how to take the antiderivative of this! What do I do with the (2x +1) ^3??

Homework Equations





The Attempt at a Solution


set u=2x+1 and do u-substitution
 


ok! I get it. I was looking in the wrong part of the book and I thought the directions said to use part 2 of the fundamental theorem! So I was freaking out because I was sure the theorem couldn't be used for this. thanks! sorry I asked a stupid question.
 


haha no problem. there are no stupid questions! :smile:
 

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