values for the function f(x).

Question

The table below gives selected values for the function f(x). Use a trapezoidal estimation, with 6 trapezoids to approximate the value of

 

                                2

                                ∫   f(x)dx                            

                                1

 

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

 

 

. Give 3 decimal places for your answer.

Answer 1

so the formula for  the area of each trapezoid is   (change in x)(f(x)_i +f(x)_i-1)/2

 

   =.1*4/2+.1*7/2+.3*10/2+.2*13/2+.2(15/2)+.1*18/2

 

    =4.40