Question

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

Answer 1

which one should be the top boundary?

Answer 2

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)

Answer 3

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

Answer 4

Don't forget 0

Answer 5

how will i use 0 now?

Answer 6

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

Answer 7

Just keep in mind that they intersect at 0.

Answer 8

What else does the question/problem say?

Answer 9

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

Answer 10

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

Answer 11

will that be my boundary?

Answer 12

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.

Answer 13

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

Answer 14

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

Answer 15

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.

Answer 16

a bit confuse.dont know the boundary to pick now

Answer 17

anyways i can use 1 and 0 right?

Answer 18

yeah just do that.

Answer 19

okay thanks