Can I calculate the absolute integral?

I have a sine wave with variable amplitude (its amplitude equal to another bigger sine wave at variable t). I need its area above and below the X axis and the sum of integral is absolute value (not below x axis treated as negative, but positive). In my attachment, I need the absolute area of the green color. Thanks There are another problem,... discuss later (Integral limitation)

Hello, I already tried absolute abs function, and the Geogebra not able to integrate within.

Remark: After opening the file, do not turn f(x), f1(x) or g(x) on - to see the graph. The program need 2 minutes to show you one of them, and the system will be slow. Unless zoom in to not more than scale 10m, and turn them on.

I subdivide an integral to small segment [0, 450] it give a positieve&negative sum where I need the absolute sum. Also I need from 0 to 500000. So if I divide this interval it will be boring to solve it.

if you want the total area, regardless of the sign of a function f, you can calculate the integral of abs(f).

chris

Hello, I already tried this method, it cannot work. Because my function has n=666666 (500000/0.75)

So this impossible, Geogebra can solve up to 500 period, so I need to subdivide up to 1200 the process. I tried to use Sigma as below

Area=Sum(Sequence(IntegralBetween(....) and many similar ways... the capability cannot give a result,

And how to get the area regardless the sign? the integral cannot returned from abs(....)

insisto en que este calculo debe exceder las capacidades de casi cualquier ordenador personal

puede intentar maxima,mathlab,wolfram etc, pero creo que será inútil, quizás la NASA

la unica forma que veo es hacer un estudio eexhaustivo de cada onda y la parte que ocupa dentro de la onda superior y buscar algun proceso por induccion si lo hay

GG viene a congelarse con listas de 10000 numeros así que 666666 son como dos demonios

Still not solved. I made already a series, but need 1100 series of big number of repetitive interval