The expression (1/20)(sqrt(1/20)+sqrt(2/20)+sqrt(3/20)+...+sqrt(20/20)) is a Riemann sum approximation for

a) ∫ sqrt(x/20) dx from 0 to 1

b) ∫ sqrt(x) dx from 0 to 1

c) (1/20) ∫ sqrt(x/20) dx from 0 to 1

d) (1/20) ∫ sqrt(x) dx from 0 to 1

e) (1/20) ∫ sqrt(x) dx from 0 to 20

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There are 20 subdivided rectangulars from 0 to 1 under f(x) =sqrt(x),

the base of each rectangular = 1/20

the height of each rectangular is the sqrt of nth subdivision, which is right side of rectangular

The total area is (1/20)(sqrt(1/20)) + (1/20)(sqrt(2/20)) + (1/20)(sqrt(3/20)) +...+ (1/20)(sqrt(20/20))

=(1/20)(sqrt(1/20) + sqrt (2/20) + .....+ sqrt(20/20) Ans. b)

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