Home
Class 10
MATHS
The area bounded by the curves y=lnx, y=...

The area bounded by the curves y=lnx, y=ln|x|, y=|lnx| and y=|ln||x| is

Text Solution

Verified by Experts

We can draw graphs for these `4` curves.
Please refer to the video to see the graphs.
The common intersection area is the required area.
From the graph, we can see that,
Area of shaded region `(A)= 4 int_(-oo)^0 xdy`
Now, `y = lnx => x = e^y` `:. A = 4 int_(-oo)^0 e^y dy`
`=>A = 4[e^y]_(-oo)^0`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

The area bounded by the curves y=In x,y=|ln x| and the y-axis is

area bounded by the curves y=ln|x|, y-axis and y=1-|x|

Find the area bounded by the curves y = log_ex , x,y=0 and x=e.

The area of the region bounded by the curve y = log x, y = log |x| ,y= | log x| and y=|log |x|| is ….Sq. units

The area bounded by the curve y=ln(x) and lines y=0, y=ln(3) and x =0 is equal to

The area of the region bounded by the curves y=ex log x and y=(log x)/(ex) is

The area bounded by the curve y=ln(x) and the lines y=0,y=ln(3) and x=0 is equal to