The area enclosed between y² = x and y = x is

The area bounded by y² = 4x and x² = 4y is

The area bounded by the curves $$x=4-y^2$$ and the Y-axis is

Consider the function $$\mathrm{f}(x)=(x-2) \log _{\mathrm{e}} x$$. Then the equation $$x \log _{\mathrm{e}} x=2-x$$