The function f is continuous on the interval [2, 10] with some of its values given in the table below. Use a trapezoidal approximation with 4 trapezoids to approximate of integral from 2 to 10 f(x)dx

Question

x 2 4 7 9 10
f(x) 0 3 8 15 18

a) 30.5
b) 78.0
c) 40.0
d) 59.0

Answer 1

Make your sketch, and draw your 4 trapezoids
Notice that their bases are not all the same, so you will have to
do 4 separate calculations.
I will do the area of the 2nd from the left:
area = (base)(average of heights)
= (7-4)(3+8)/2 = 33/2

find the others, then add them up,
let me know what you get

Answer 2

(4-2)(0+3)/2=3
(7-4)(3+8)/2=16.5
(9-7)(8+5)/2=13
(10-9)(18+15)/2=16.5
Answer 49?????????? why?

Answer 3

Please help me with this exercise. My answer was 49 but this number is not in my choices

Answer 4

Your third calculation is wrong
you had (9-7)(8+5)/2=13
should have been (9-7)(8+15)/2=23 , looks like a copy error

for a total 59, your last choice

Answer 5

ohhh you right! thank you Reiny