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

Question

Use n = 5 subintervals. 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 = 3/5 = 0.6; A ≈ ∑_n=0⁴(2e^{0.3 + 0.6n})·0.6 = 37.6