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/sci/ - Science & Math

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/sci/ I don't understand U integration

for those who don't get what I mean like

integrate ( sin(3x)/cos(3x) dx)

I get the U = cos(3x), the Du = sin (3x)

so you end up with DU/U

but I have no idea what to do after or why I'm doing it, i've tried kahns academy but couldn't find anything helpful... so can you guys explain to me what to do after that part and why this gives the correct answer?

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