Find an approximation of the area of the region R under the graph of the function f on the interval [1, 3]. Use n = 4 subintervals.

Question

Choose the representative points to be the right endpoints of the subintervals.

f(x)=5/x

Answer 1

Δx = (3 -1)/4 = 0.5; n = 4

Area A ≈ R_{4 =} ∑₁⁴ 5/(1 + ·0.5x)0.5 = 4.75