The area bounded by   y=loge⁡|x| and y=0

y=loge⁡⌊x∣ and y=0  From the figure, required area = area of the shaded region  =1+1=2sq . units (as we know that area bounded by  y=loge⁡x,x=0, and y=0 is 1 sq. units) ∫01logxdx=xlogx-x01=1