Question

Hey, what is integration of (-lnx)
plz sent solution

Answer 1

What's the argument of the log? That is a natural log right?

Answer 2

use integration by parts\[u=\ln x\]\[dv=dx\](you can pull the negative sign out of the radical)

Answer 3

using integration by parts
i think ..- xlnx+x+c

Answer 4

why is everyone so tempted to type the direct answer to this question?
please do NOT type answers without explanation; the goal of this site is to teach and guide askers towards solutions only.

Answer 5

@muhammad_raza if you have any questions, or if you are unfamiliar with integration by parts, please say so

Answer 6

but
when u=lnx
then du=1/x.dx
how can solve by using by part formula??

Answer 7

that is not how integration by parts works; you are trying to do a u-substitution

Answer 8

integration by parts involves u and dv

Answer 9

by the product rule\[(uv)'=u'v+v'u\]just looking at the differentials we get\[d(uv)=vdu+udv\]integrating the whole equation we get\[\int d(uv)=uv=\int vdu+\int udv\]solving for integral udv we get\[\int udv=uv-\int vdu\]which is the formula for integration by parts

Answer 10

this formula can be used on certain forms once we can break up the integrand into u and dv