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okay thats too somber for fun in the past I have a video on the fake product roof water derivative so today why dont we try to fake the product rule for integrals as well that means I want to have two functions so that the integral of F times G to be the integral of F times the integral of G of course we want F and G to be non constants because otherwise it will be too boring and if you are like you can change yourself try to figure out general formula F based on G or GPA some have pretty much the same thing but the material would be pretty bizarre so this is how I will do it Im just going to select a specific function for F and now I try to figure out what G should be to correspond that and yeah and as I said you can do some hardcore stuff but I will just show you guys that this situation will actually work for some specific functions of course this doesnt work all the time for all the F and G right but for some functions he actually works anyway I am going to say I will pick F t