- #1

- 326

- 1

## Homework Statement

find integral e^x ln(x)dx

## Homework Equations

integral udv=uv-integral vdu

## The Attempt at a Solution

u=ln(x) ,du=1/x dx

dv=e^xdx ,v=e^x

integral e^x ln(x)dx=ln(x)e^x -integral e^x/x dx

integral e^x/x dx =

u=e^x du=e^x dx , dv=1/x dx , v=ln(x)

ln(x)e^x-integral ln(x)e^xdx

then when I substituted I got 0=0 so what did I do wrong ?