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with you and um when I go through these please know that the notation that I am showing its not optional you know like you have to write the word limit until you actually like plug into the limit you have to put your integral symbol and tell you actually like take the interval the integral is an operation so you guys know you cant just draw up like plus minus signs like those are operations they have to be there so as we go through these like if you are doing algebraic rewriting your integral is still there so when you look at this first one remember that integration youre looking at like what has the derivative of that were going backwards into the integral when youre taking the integral of a polynomial you just break it off piece by piece so when you look at this what its really saying is the theater goal of 4x squared D X so remember DX is just that in the variable youre integrating it by so its just the X because theyre using an X minus the integral of 2x DX plus the inte
