Anti-Derivitave Graphs

[Guest]

If I am given a graph, that is a function f, on a closed interval [0,5], and am told that G(x) = Integral from [0,x] f(t) dt

How do I find the graph of G so that I can find like g(3) or where g is increasing or decreasing?!

 

[Gene]

I take it that all you have is the graph, not f(t). You would have to do your own integration unless it is a very well behaved function and you can approximate it with your own function.
To do it yourself you would read f(t) and f(t+x) then put a dot at
last dot plus ((t+x/2),x(f(t+x) + f(t))/2)
If it is straight x can be large. If it curves x should be smaller. Connect the dots. Or count the squares and graph the sums as you go.