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in this video were gonna talk about how to get the integral of the natural log of X function so what do you think we need to do we need to use integration by parts the integral of U DV is equal to u times V minus the integral of VDU so what were going to do is were going to make u equal to Ln X and so d u the derivative of Ln X is going to be 1 over x times DX DX were going to make it equal to DV so V is the integral of DV and the integral of DX is going to be X so using the formula its UV which is Ln X times X minus the integral of VDU V is X D U is 1 over X DX so x times 1 over X thats going to be 1 so far we have X Ln X minus the integral of 1 DX the integral of 1 is simply X and then we need to add the constant of integration plus C so this is the answer thats the integral of Ln X