Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle.y = 2/x,  y = 2/x2,  x = 6 Find the area of the region.

Use a suitable double integral to evaluate the area between the curve y = x2 and the curvey = x where x, y ≥ 0.

Estimate the area under the graph of f(x) = 2/x from x = 1 to x = 2 using four approximating rectangles and right endpoints. (Round your answer to four decimal places.)

Find by double integration the area of the region enclosed by curves2 2 2 ,x y a x y a    in the first quadrant.

What is the area between two curves?

Use left and right endpoints and the given number of rectangles to find two approximations of the area of the region between the graph of the function and the x-axis over the given interval.f(x) = 2x + 9,   [0, 2],   4 rectangles