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

[pb23me]

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.

 

[micromass]

If you show us what you did, I'll be happy to point out what's wrong...

 

[pb23me]

Nevermind it will take me 30 mins of wasted time to type out all that goodbye

 

[ehild]

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

 

[pb23me]

That was what it was. Thanks