## anonymous 5 years ago how to find integration of ln(x) with respect to x, approximation is allowed.

1. anonymous

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

2. anonymous

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

3. anonymous

thank u very much...

4. anonymous

sure thing

5. anonymous

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

6. anonymous

sorry made a typo litte f=1

7. anonymous