## lynda.boyce one year ago I need help interpreting the meaning of a integral

1. lynda.boyce

$\int\limits_{10}^{5}200x^1.075dx$

2. zzr0ck3r

that is written weird.

3. lynda.boyce

i'm sorry the 5 and 10 need to be switched

4. amoodarya

do you men ? $\int\limits_{5}^{10}200x^{1.075}dx$

5. zzr0ck3r

ahh

6. lynda.boyce

$\int\limits_{5}^{10}200x ^{1.075}$

7. zzr0ck3r

$$\int_a^bcx^ldx = \frac{c}{l+1}x^{l+1}|_a^b$$

8. zzr0ck3r

where $$f(x) |_a^b \implies f(b) - f(a)$$

9. lynda.boyce

I'm suppose to interpret it but I am not understanding what he means(my professor). He says I think to explain it not solve it

10. zzr0ck3r

do you know what the graph looks like?

11. lynda.boyce

there isn't a graph

12. zzr0ck3r

graph the function you are taking the integral of. i.e. graph $$f(x) = 200x^{1.075}$$

13. Kash_TheSmartGuy

@Study_together can you help?

14. Study_together

a function of which a given function is the derivative, i.e., which yields that function when differentiated, and which may express the area under the curve of a graph of the function.

15. zzr0ck3r

Graph the function. then it is the area between 5 and 10

16. Study_together

Does that help @Kash_TheSmartGuy

17. zzr0ck3r

not just under the curve.... I think that is a bad way of saying it... we must balance out the negative when looking at it as area...

18. zzr0ck3r
19. amoodarya

|dw:1436311731447:dw|

20. anonymous

an integral is basically the area under a curve

21. zzr0ck3r

again, not under...

22. zzr0ck3r

there is infinite area under y=x for any interval

23. anonymous

|dw:1436311772648:dw|

24. lynda.boyce

so it's basically plotting population between the years of 5 and 10 and what the growth potential is

25. anonymous

well if your given like a limit then its like find the area under the curve between 4 and 6

26. anonymous

or whatever u choose to make your limit