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Q1: Simpson's rule for calculating areas states that the area enclosed by a curvilinear figure divided into an even number of strips of equal width, is equal to

A half the width of a strip, multiplied by the sum of two extreme offsets, twice the sum of remaining odd offsets, and thrice the sum of the even offsets

B one third the width of a strip, multiplied by the sum of two extreme offsets, twice the sum of remaining odd offsets and four times the sum of the even offsets

C one third the width of a strip, multiplied by the sum of two extreme offsets, four times the sum of the remaining odd offsets, and twice the sum of the even offsets

D one sixth the width of a strip, multiplied by the sum of the two extreme offsets, twice the sum of remaining odd offsets and four times the sum of the even offsets

E none of these

ANS:B - one third the width of a strip, multiplied by the sum of two extreme offsets, twice the sum of remaining odd offsets and four times the sum of the even offsets

It depends from where you consider the ordinates. If we consider one (eg. F1, f2, f3. ) then option B is correct and if we consider from zero (f0, f1, f2, f3). Option B is for Volume
Option C is for Area

So Option C is wrong.
Answer is wrong here!
1/3h (f0 + 4f1 + 2f2 + 4f3 + f4).



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