The area of the region bounded by hyperbola $x^2-y^2=9$ and its latus rectum is

The area bounded by the curve $$y=|x-2|, x=1, x=3$$ and $$X$$-axis is

The area bounded by the curves $$y=(x-1)^2, y=(x+1)^2$$ and $$y=\frac{1}{4}$$ is

If a curve $$y=a \sqrt{x}+b x$$ passes through the point $$(1,2)$$ and the area bounded by the curve, line $$x=4$$ and $$X$$-axis is 8 sq units, then