Find the average of f(x)=sqrt(1-x) on the interval [-1,1]?

  • Thread starter Chandasouk
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  • #1
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Please show work. There was a negative sign that appeared in the solution and I don't know why.

I know [tex]\sqrt{}(1-X)[/tex] can be rewritten as (1-X)^1/2 and then you use the power rule to integrate but that gives you

(1-x)^3/2
------------
3/2

2(1-X)^3/2
--------------
3

My book shows

-(1-X)^3/2
------------
3/2

instead

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Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
26,258
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You integrate that by using the substitution u=1-x. So dx=(-du). Then use the power rule on the u integral. That's where the '-' sign comes from.
 

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