Riemann Sums and the Definite Integral 1

represents the area between the curve 3/x and the x-axis from x = 4 to x = 8 2

Four Ways to Approximate the Area Under a Curve With Riemann Sums Left Hand Sum Right Hand Sum Midpoint Sum Trapezoidal Rule 3

Approximate using left-hand sums of four rectangles of equal width Enter equation into y1 2nd Window (Tblset) Tblstart: 4 Tbl: 1 2nd Graph (Table) 4

Approximate using right-hand sums of four rectangles of equal width Enter equation into y1 2nd Window (Tblset) Tblstart: 5 Tbl: 1 2nd Graph (Table) 5

Approximate using midpoint sums of four rectangles of equal width Enter equation into y1 2nd Window (Tblset) Tblstart: 4.5 Tbl: 1 2nd Graph (Table) 6

Approximate using trapezoidal rule with four equal subintervals Enter equation into y1 2nd Window (Tblset) Tblstart: 4 Tbl: 1 2nd Graph (Table) 7

Approximate using left-hand sums of four rectangles of equal width 8

Approximate using trapezoidal rule with n = 4 9

For the function g(x), g(0) = 3, g(1) = 4, g(2) = 1, g(3) = 8, g(4) = 5, g(5) = 7, g(6) = 2, g(7) = 4. Use the trapezoidal rule with n = 3 to estimate 10

If the velocity of a car is estimated at estimate the total distance traveled by the car from t = 4 to t = 10 using the midpoint sum with four rectangles 11