## krypton 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. krypton

which one should be the top boundary?

2. malical

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. krypton

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

4. wio

Don't forget 0

5. krypton

how will i use 0 now?

6. krypton

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

7. wio

Just keep in mind that they intersect at 0.

8. wio

What else does the question/problem say?

9. krypton

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

10. krypton

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

11. krypton

will that be my boundary?

12. wio

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. krypton

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

14. wio

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

15. wio

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. krypton

a bit confuse.dont know the boundary to pick now

17. krypton

anyways i can use 1 and 0 right?

18. wio

yeah just do that.

19. krypton

okay thanks