anonymous
  • anonymous
pls help am doing a problem on integration,area between curves y1=x^3, and y2=x which one shouldd be on top?
Mathematics
katieb
  • katieb
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katieb
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anonymous
  • anonymous
which one should be the top boundary?
anonymous
  • anonymous
I just graphed them and it appears to be that f(x)=x is on top of f(x)=x^3 from obviously 0 to whenever x^3=x. (1)
anonymous
  • anonymous
oh thanks,and so my points of intersection are 1 and -1?

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anonymous
  • anonymous
Don't forget 0
anonymous
  • anonymous
how will i use 0 now?
anonymous
  • anonymous
which boundary should i take 1,0,-1?
anonymous
  • anonymous
Just keep in mind that they intersect at 0.
anonymous
  • anonymous
What else does the question/problem say?
anonymous
  • anonymous
calculate the area bounded by those curves with respect to x axis
anonymous
  • anonymous
\[\int\limits_{-1}^{1}?\]
anonymous
  • anonymous
will that be my boundary?
anonymous
  • anonymous
If you go from -1 to 1, it's just going to be twice as much as whatever the area from 0 to 1 is.
anonymous
  • anonymous
so can i do it that way,which points do i need to pick?
anonymous
  • anonymous
problem should have specified a bit more information... but I'd just do 0 to 1.
anonymous
  • anonymous
Since even if you did do from -1 to 1, you'd have to split up the integral because at some point they switch positions.
anonymous
  • anonymous
a bit confuse.dont know the boundary to pick now
anonymous
  • anonymous
anyways i can use 1 and 0 right?
anonymous
  • anonymous
yeah just do that.
anonymous
  • anonymous
okay thanks

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