Finding the Area Between Two Functions: Integration Problem from 0 to 2

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Homework Help Overview

The problem involves finding the area between two functions, f(x)=(x-1)^3 and f(x)=(x-1), over the interval from 0 to 2. The original poster expresses confusion regarding their calculated area, noting that they obtained a negative value instead of the expected positive area.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the area by subtracting the lower function from the upper function across specified intervals. They mention the points where the graphs intersect and express uncertainty about their results.

Discussion Status

Some participants have offered to help by suggesting that the original poster share their work for review. There is a recognition of a potential misunderstanding regarding which function is on top and which is on the bottom, prompting a suggestion to plot the functions for clarity.

Contextual Notes

The original poster indicates a lack of recent experience with calculus, which may be influencing their understanding of the problem. There is also a mention of time constraints affecting their willingness to engage further in the discussion.

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Homework Statement


Find the area between f(x)=(x-1)^3 and f(x)=(x-1) on the interval from 0 to 2.


Homework Equations





The Attempt at a Solution

Working it out I am using the top function minus the bottom function from 0 to 1 and then from 1 to 2. The graphs cross at x=0,x=1,andx=2.
Im geting - (1/2) for my final answer and the answer is 1/2. It's been awhile since if done any calculus so I don't know why my answer is the wrong sign.
 
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If you show us what you did, I'll be happy to point out what's wrong...
 
Nevermind it will take me 30 mins of wasted time to type out all that goodbye
 
pb23me said:
Working it out I am using the top function minus the bottom function from 0 to 1 and then from 1 to 2. The graphs cross at x=0,x=1,andx=2.
Im getting - (1/2) for my final answer and the answer is 1/2.

You took the wrong functions to "top" and "bottom". Plot them to see.

ehild
 
That was what it was. Thanks
 

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