Riemann Sums and the Definite Integral

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

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

Approximate using trapezoidal rule with four equal subintervals 1.Enter equation into y1 2.2 nd Window (Tblset) 3.Tblstart: 4 4.Tbl: nd Graph (Table)

Approximate using trapezoidal rule with four trapezoids of equal width

Approximate using trapezoidal rule with n = 4

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

If the velocity of a car is estimated at estimate the total distance traveled by the car from t = 4 to t = 10 using five trapezoids of equal width