The question is to find the area enclosed in the first quadrant bounded by the line $y=\ln x$ , the line $x=2$, the curve $y=\frac{1}{x^2}$ and the x-axis.
I have drawn a rough sketch. I am unable to find (without using a computer), the intersection point of $y=\ln x$ and the curve the curve $y=\frac{1}{x^2}$.
Is there a way to find the intersection? Or is there another way to solve the problem without using the intersection of the aforementioned curves?