This is given:
f(1)= 2
f(5)= 10
f(8)= 13
f(12)= 17
Use trapezoidal approximation to find the area of the curve described by the function values above.
I understand that I need to find the area of all the trapezoids manually. I cannot apply the normal rule because the subintervals are different.
I used the height as the difference between 1 and 5 and the bases as 2 and 10, whcih plugged into the formula for the area of a trapezoid is
( 2 + 10).
I followed this pattern but my answer was clearly off. It was WAY too big.
So...how do I solve this problem?