Question

Integral Question in comments

Answer 1

so... just so ive got my head around it...

ur equation's:

\(\Large F(x) = \int_{0}^{x} f(t) dt \)

and you have a graph of f(x) ... not f(t)... and not F(x)...

and you need to solve for F(6)
(so solve F(x) when x = 6)

... does that about sum it up?

Answer 2

I think so, integrals is something I really have trouble with so I'm not completely sure.

Answer 3

ok... what i dont get is the relationship here between f(x) and F(x)... are they ment to be th same thing???
or is the graph supposed to be of f(t)... and it's a typo maybe?

Answer 4

f(x)=F'(x)

Answer 5

so F is the antiderivative of f

Answer 6

ahhhhh, k one sec, brb

Answer 7

ok. sooo sorry to rush, so grateful for your help, but this is due in 10 minutes...

Answer 8

less than 5 minutes...

Answer 9

1 minute :(

Answer 10

find the "net" area between the curve and the x axis from x=0 t x=6

the dt stuff is from a more formal definition of the integral; you can switch it out into x and dx and get the same, possibly more familiar, thing.

Answer 11

Oh so it would have been -10?

Answer 12

I get it, thanks.

Answer 13

yes, -10