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int [u dv] = uv - int [v du]

...

very confuzing, ... made me think it was the product formula lol. And I still don't understand what does dv and dx and all these d stuff standfor in integrals.

they have those dv = 1dx.. i can understand that,... dv/dx = 1, they just moved dx over , but then they made 1/dx = dv... i got confuzed...