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- So weve depicted here the area under the curve F of X above the X-axis, between the points X equals A and X equals B. And weve denote it as the definite integral from A to B of F of X, DX. Now what I wanna do with this video is introduce a third value, C, that is in between A and B. And it could be equal to A or it could be equal to B. So let me just introduce it, right, just like that. And I could write that A is less than or equal to C, which is less than or equal to B. And what I wanna think about is, how does this definite integral relate to the definite integral from A to C and the definite integral from C to B. So lets think through that. So we have the definite integral from A to C of F of X. Actually Ive already used that purple color for the function itself, so we use green. So we have the integral from A to C of F of X, DX, and that of course is going to, thats going to represent this area right over here, from A to C under the curve F of X, above the X-axis, so that