Riemann Sums Review

Front

What is a Left Riemann Sum?

Back

A method for approximating the area under a curve by using the left endpoints of subintervals.

Front

What is a Right Riemann Sum?

Back

A method for approximating the area under a curve by using the right endpoints of subintervals.

Front

What is a Midpoint Riemann Sum?

Back

A method for approximating the area under a curve by using the midpoints of subintervals.

Front

What is a Trapezoidal Sum?

Back

A method for approximating the area under a curve by averaging the left and right Riemann sums.

Front

How do you calculate a Left Riemann Sum?

Back

Sum the areas of rectangles formed by the left endpoints of each subinterval.

Front

How do you calculate a Right Riemann Sum?

Back

Sum the areas of rectangles formed by the right endpoints of each subinterval.

Front

How do you calculate a Midpoint Riemann Sum?

Back

Sum the areas of rectangles formed by the midpoints of each subinterval.

Front

What is the formula for the area of a rectangle?

Back

Area = width × height.

Front

What is the significance of the number of subintervals in Riemann Sums?

Back

More subintervals generally lead to a more accurate approximation of the area under the curve.

Front

What is the relationship between Riemann Sums and definite integrals?

Back

Riemann Sums are used to approximate the value of definite integrals.