Left & Right Riemann Sums
Midpoint Riemann Sums
Trapezoidal Approximations
Over & Under Estimates
The Integral
100
What is the left-hand Riemann sum approximation of
int_2^8f(x)dx
47
100
Use a midpoint Riemann sum with 2 subintervals to estimate the value of
int_2^10f(x)dx
88
100
Use a trapezoidal sum to approximate the value of
int_2^8f(x)dx
54
100
A function is increasing and concave down. Which of the following would be an overestimate of the integral?
(A) Right hand Riemann Sum
(B) Left hand Riemann Sum
(B) Trapezoidal approximation
(A)
100
What does the integral of a function represent?
The area between the function and the x-axis.
200
Use a midpoint Riemann sum with 2 subintervals to estimate the value of
int_2^18f(x)dx
144
200
200
A function is concave up and decreasing. Which of the following is the greatest?
(A) Right Riemann sum
(B) Left Riemann Sum
(C) The integral
(D) Midpoint Riemann sum
(B)