Find an approximation of the area of the region R under the graph of the function f on the interval [0, 2]. Use n = 5 subintervals.

Question

Choose the representative points to be the midpoints of the subintervals.

f(x)=x^2+4

Answer 1

Δx = (2 -0)/5 = 0.4; n = 5

Area A ≈ ∑₀⁴[(0.2 + 0.4x)² + 4]·0.4 =10.64