How to Integrate sqrt(1+3x) Correctly?

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Homework Help Overview

The discussion revolves around the integration of the function sqrt(1+3x), with participants exploring various approaches to solve the integral.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of u-substitution, with one suggesting to let u=1+3x to simplify the integration process. There are attempts to express the integral in a different form.

Discussion Status

The discussion includes attempts to solve the integral, with one participant providing a potential solution. However, there is no explicit consensus on the correctness of the solution, as further verification is implied.

Contextual Notes

Participants are navigating the integration process without a complete resolution, and there may be assumptions about the methods being applied.

sargentidiot
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NVM bout the arc length, need help on integrations

Homework Statement


Integrate sqrt(1+3x)

Homework Equations


Sqrt (1+3x)

The Attempt at a Solution


i made it into
(1+3x)^(1/2)
 
Last edited:
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sargentidiot said:
NVM bout the arc length, need help on integrations

Homework Statement


Integrate sqrt(1+3x)


Homework Equations


Sqrt (1+3x)




The Attempt at a Solution


i made it into
(1+3x)^(1/2)

have you tried u-substitution? use u=1+3x and see what you get
 
ok so i got
(2(1+3x)^(3/2))/9
would that be right
 
sargentidiot said:
ok so i got
(2(1+3x)^(3/2))/9
would that be right

yes, you got it
 

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