Question

The table below gives selected values for the function f(x). Use a trapezoidal estimation, with 6 trapezoids to approximate the value of integral from 1 to 2 f(x) dx
=.1*4/2+.1*7/2+.3*10/2+.2*13/2+.2(15/2)+.1*18/2

=4.40

Answer 1

sorry the table is
x 1 1.1 1.2 1.5 1.7 1.9 2.0
f(x) 1 3 4 6 7 8 10

Answer 2

I agree with your first line
=.1*4/2+.1*7/2+.3*10/2+.2*13/2+.2(15/2)+.1*18/2
= .1(2) + .1(3.5) + .3(5) + .2(6.5) + .2(7.5) + .1(9)
= .1(2+3.5+15+13+15+9)
= .1(57.5)
= 5.75

Answer 3

5.75 is the right answer