1. Find the approximate area under the curve of the given equation by dividing t

Question

1.

Find the approximate area under the curve of the given equation by dividing the indicated intervals into n subintervals and then add up the areas of the inscribed rectangles. There are two values of n and therefore two approximations for the area. The height of each rectangles may be found by evaluating the function for the proper value of x.

y = 2/x^2, between x = 1 and x = 5 for (a) n = 4, (b) n = 8

(a) The approximate area under the curve y= 5/x^2 for n = 4 rectangles = ......(Round to three decimal places)

(b) The approximate area under the curve y = 5/x^2 for n = 8 rectangles = .......(Round to four decimal places)

Explanation / Answer

in case of y = 2/x^2 answers are:

a.1.471

b. 1.5618

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