1. ## Integrals

Let f(x) be given by the function whose graph is shown..(see attachment)

Calculate 2 f(x) dx. Justify your answer
****** -2

Calculate 8 f(x) dx. Justify your answer
******* 0

Note: Integral sign is supposed to be near 2, -2 and 8,0..can't figure this out..please help!

2. Originally Posted by Jgirl689
Let f(x) be given by the function whose graph is shown..(see attachment)

Calculate 2 f(x) dx. Justify your answer
****** -2

Calculate 8 f(x) dx. Justify your answer
******* 0

Note: Integral sign is supposed to be near 2, -2 and 8,0..can't figure this out..please help!
where is the part of the graph that contains $x = -2$ ?

$\int_0^8 f(x) \, dx = \int_0^4 f(x) \, dx + \int_4^8 f(x) \, dx = 6 + (-4) = 2$

do you understand that a definite integral is nothing more than the signed area between a curve and the x-axis?

3. It's over there...not exactly perfect, but close...I don't get what this is trying to ask..

4. Originally Posted by Jgirl689
It's over there...not exactly perfect, but close...I don't get what this is trying to ask..
if you do not understand what a definite integral means, then you need to do some research to learn.

start here ...

https://scs.imsa.edu/wiki/index.php/...of_Integration

5. I'll get back to this one..

6. Originally Posted by Jgirl689
Let f(x) be given by the function whose graph is shown..(see attachment)

Calculate 2 f(x) dx. Justify your answer
****** -2

Calculate 8 f(x) dx. Justify your answer
******* 0

Note: Integral sign is supposed to be near 2, -2 and 8,0..can't figure this out..please help!
Look, I think the point is to understand what "area under the curve" means. This is not complicated at all. If you want some more help. Holler.