Answer:
9.37
Explanation:
T₄ means the area of the region using 4 trapezoids.
Dividing the interval into 4 equal widths, the width of each trapezoid is (4−0)/4 = 1.
The area of each trapezoid is:
T₁ = ½ (1.00 + 1.41) (1) = 1.205
T₂ = ½ (1.41 + 2.24) (1) = 1.825
T₃ = ½ (2.24 + 3.16) (1) = 2.700
T₄ = ½ (3.16 + 4.12) (1) = 3.640
Therefore, the total area is:
T = 1.205 + 1.825 + 2.700 + 3.640
T = 9.37