krypton
pls help am doing a problem on integration,area between curves
y1=x^3, and y2=x
which one shouldd be on top?



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krypton
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which one should be the top boundary?

malical
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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)

krypton
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oh thanks,and so my points of intersection are 1 and 1?

wio
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Don't forget 0

krypton
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how will i use 0 now?

krypton
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which boundary should i take 1,0,1?

wio
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Just keep in mind that they intersect at 0.

wio
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What else does the question/problem say?

krypton
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calculate the area bounded by those curves with respect to x axis

krypton
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\[\int\limits_{1}^{1}?\]

krypton
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will that be my boundary?

wio
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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.

krypton
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so can i do it that way,which points do i need to pick?

wio
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problem should have specified a bit more information... but I'd just do 0 to 1.

wio
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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.

krypton
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a bit confuse.dont know the boundary to pick now

krypton
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anyways i can use 1 and 0 right?

wio
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yeah just do that.

krypton
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okay thanks