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A question about the fundamental theorem of calculus
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\[ g(x) = \int\limits_{0}^{x} f(x) dt\]
f(t) dt ... but go on
(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?
im sure theres a more specific definition for f(t) then
there is a graph i'm just trying to get it to copy and past it over
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there it is
I have no idea how to solve this problem
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
your graph is pretty much a triangle and finding the area of triangles is pretty basic
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