Question

A question about the fundamental theorem of calculus

Answer 1

\[ g(x) = \int\limits_{0}^{x} f(x) dt\]

Answer 2

f(t) dt ... but go on

Answer 3

(a) Evaluate g(x) for x=0,1,2,3,4,5, and 6.
(b) Estimate g(7).
(c) At what value of x does g attain its maximum?
(d) At what value of x does g attain its minimum?

Answer 4

im sure theres a more specific definition for f(t) then

Answer 5

there is a graph i'm just trying to get it to copy and past it over

Answer 6

there it is

Answer 7

I have no idea how to solve this problem

Answer 8

integration and area are related.

the area under the graph along the interval of 0 to x; any parts under the x axis are negative in value and over the axis are postive in value

Answer 9

your graph is pretty much a triangle and finding the area of triangles is pretty basic