Question

36. Which of the following is a right Riemann sum approximation for svi dr using n subintervals of equal width? (Α) Σ Σ (C) Σ2K D) ΟΙ Σ

Answer 1

Given, [ Vxdx The given theorem, * $(x) dx = lim Ž f (x)Ar i=1 b-a where Ar= 2 X; = a +iAr n From the given integral, 2-0 2 Ar= n n 2i x = 0+ n 2i 2i f(x;)=(0+ =f n Since, f (x) = Vx 2i So, si = п Using the theorem,

2 2i f(x)dx = lim i=1 п Take i=k, 12 2 2k Ś Vädx = lim n n Hence, option (E) is correct.