Find an approximation of the area of the region R under the graph of the function f on the interval [0, 3]. Use n = 5 subintervals.

Question

Choose the representative points to be the midpoints of the subintervals. (Round your answer to one decimal place.)

f(x)=2e^x

Answer 1

Δx = (3 -0)/5 = 0.6; n = 5

Area A ≈ ∑₀⁴(2e^(0.3 + 0.6x)·0.6 = 31.33705263