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

1. anonymous

which one should be the top boundary?

2. 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)

3. anonymous

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

4. anonymous

Don't forget 0

5. anonymous

how will i use 0 now?

6. anonymous

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

7. anonymous

Just keep in mind that they intersect at 0.

8. anonymous

What else does the question/problem say?

9. anonymous

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

10. anonymous

$\int\limits_{-1}^{1}?$

11. anonymous

will that be my boundary?

12. 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.

13. anonymous

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

14. anonymous

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

15. 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.

16. anonymous

a bit confuse.dont know the boundary to pick now

17. anonymous

anyways i can use 1 and 0 right?

18. anonymous

yeah just do that.

19. anonymous

okay thanks