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Im going to show you guys the easiest way to do integration by parts so check this out this is the D I method so heres my first example we have the integral X to a second power times sine of 3x we all unfortunately use substitution wouldnt work because if we let u equals two inside function 3x the derivative dies just as three we cannot cancel with the X to a second power so lets give integration by part a trial and this is going to demonstrate the first step of using the DI method the idea of the integration by parts is we are going to look at the original integral and then break down to two parts one part we are going to differentiate the other one we are going to integrate so we will put down a D and the I D stands for the part welcome to differentiate and I stand for the part were going to integrate and we should always try to write this down first figure out which partial we integrate because its usually harder to integrate right and then also on the side we shall put a plu