Question

how to find integration of ln(x) with respect to x, approximation is allowed.

Answer 1

graphical or any kind of logical solution is acceptable....

Answer 2

Use integration by parts..
\[\int\limits \ln(x)dx \rightarrow f=x, F=x, g=\ln(x), g'=\frac{1}{x}\]
\[xln(x)-\int\limits x \frac{1}{x}dx \rightarrow xln(x)-\int\limits dx \rightarrow xln(x)-x+C \rightarrow x[\ln(x)-1]+C\]

Answer 3

thank u very much...

Answer 4

sure thing

Answer 5

but if it is a definite integral problem and x->0. then how would you approach?

Answer 6

sorry made a typo litte f=1

Answer 7

read this link about improper integrals.... it also has examples
http://tutorial.math.lamar.edu/Classes/CalcII/ImproperIntegrals.aspx

Answer 8

as far i understood it should go to infinity..