#### To determine

**To find**:

Area between the given curves.

#### Answer

0.06598

#### Explanation

**Given**: y==lnxx and y=lnx2x.

Blue coloured graph represents the function fx=lnxx and the green coloured graph represents the function gx=(lnx)2x.

The required area is given by:A=∫12.71fx-gxdx=∫12.71lnxx -(lnx)2xdx=∫12.71lnxx dx–∫12.71(lnx)2xdx. Substitute lnx=t, then 1xdx=dt. Also, x=1 implies t=0, and x=2.71 implies t=ln2.71. Thus,∫t=0ln2.71tdt-∫t=0ln2.71t2dt=0.06598.

**Conclusion:**

We could calculate the area between the 2 given curves as ** **0.06598.