Question 1031344
8.75 

--------------------------------------------------

The trapezoidal approximation would be

{{{((3-1)/(2*4))(f(1) + 2f(1.5)+ 2f(2) + 2f(2.5)) +f(3))}}}

={{{0.25(1^2 +2(1.5)^2 + 2(2)^2 + 2(2.5)^2 + 3^2)}}}

= 0.25(1+4.5+8+12.5+9) = {{{highlight(8.75)}}}