Is ln(x-2) the Correct Integration of 1/4(x-2)?

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SUMMARY

The correct integration of the function 1/4(x - 2) is achieved using the formula for integrating a constant multiplied by a function, specifically ##\int kf(x)~dx = k\int f(x)~dx##. The integral of 1/4(x - 2) results in (1/4)ln|x - 2| + C, where C represents the constant of integration. It is crucial to clarify the expression to avoid ambiguity, as the order of operations can lead to misinterpretation.

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Homework Statement

Homework Equations

The Attempt at a Solution


i got ln(x-2) but not sure what to do with the 4[/B]
 
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truffle42 said:

Homework Statement

Homework Equations

The Attempt at a Solution


i got ln(x-2) but not sure what to do with the 4[/B]
Use ##\int kf(x)~dx = k\int f(x)~dx##. And don't forget the constant of integration.
 
Last edited by a moderator:
@truffle42, as written, your problem is ambiguous -- "integration of 1/4(x - 2)"

Due to the order of operations, what you wrote is ##\frac 1 4 (x - 2)##, surely not what you meant.
 

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