Question

How do you do this question?

Answer 1

Answer:

9.37

Step-by-step 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