Question

Hey can someone explain the accumulation function?

Answer 1

i have seen this strange term to mean
\[\int_a^x f(t)dt\] is that what you mean?

Answer 2

Or are you referring to the accumulation function that involves present value and future value?

Answer 3

yeah i have seen that too, and there seem to be several of them

Answer 4

elica85 replied to Consider the region bound by the parabola y = 9-x2, the semicircle y = (4-x^2)^1/2 and the intervals [-3;-2] and [2; 3] of the x-axis. Write an integral (or sum of integrals) representing the volume of the solid obtained by revolving this region about the x-axis. You do not have to compute a numerical answer.

Answer 5

There is a question for you Satellite. About an hour ago.

Answer 6

what satellite put :)

Answer 7

i hate rotating solids. never know whether to rotate which direction.

Answer 8

there is a picture of an accumulation funcion, represents area under the curve. it changes depending on x, so it is a function of x. the curve is fixed

Answer 9

fundamental theorem of calculus tells you that the derivative of
\[\int_a^x f(t)dt\] is
\[f(x)\]

Answer 10

it would be better if you posted a specific question rather than a general one. or at least it would be easier to answer

Answer 11

oh ok, well the one I have questions on says, "we have the graph f(t)=2. We now want to consider the expression \[\int\limits_{0}^{x} f(t) dt\] As x changes so does \[\int\limits_{0}^{x} f(t) dt\] . complete the chart.