how do i go about finding the area of this region?

Question

if the region is bounded by the x-axis, y-axis and the graphs of the equations y=1/(x^2)+1 and y=lnx

Answer 1

Solve the integral int (1/(x^2+1)-lnx)dx.The limits will be x=1 as the lower limit, and where graphs of the two functions intersect (x=1.401 using a graphing calculator) as the upper limit.

The antiderivative of 1/(1+x^2) is arctan(x).

The antiderivative of ln x is xlnx- x