Question

Is a trapezoidal Riemann sum an average of left and right Riemann sums?

A) Yes
B) No
C) Sometimes
D) Depends on the Function

Answer 1

A trapezoidal Riemann sum is an approximation of the definite integral using trapezoids to approximate the shape of the curve.

Step-by-step explanation:

A trapezoidal Riemann sum is not an average of left and right Riemann sums.

Instead, it is an approximation of the definite integral using trapezoids to approximate the shape of the curve. It involves dividing the interval into equal subintervals, calculating the area of each trapezoid, and summing these areas.

This method can provide a good approximation of the definite integral, especially when the function is relatively smooth.