Question

How do you find the antiderivative of ln(x)?

Answer 1

by parts usually, or a table

Answer 2

id go the table route lol

Answer 3

xln(x) - x + C

Answer 4

you mean tables that list the derivatives?

Answer 5

well, no; tables that list the anti derivatives of comon stuff

Answer 6

the long route is to do int by parts

Answer 7

{S} ln(x) dx

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u = ln(x) v = x

du = 1/x dv=dx
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{S} ln(x) dx = uv - {S} v du

{S} ln(x) dx = x ln(x) - {S} x/x du

= x ln(x) - x + C

Answer 8

missed a few parts for ultimate clarity; but hopefully you get the drift of it