Walk through an example using the trapezoid rule, then try a couple of practice problems on your own.

The area under a curve is commonly approximated using rectangles (e.g. left, right, and midpoint Riemann sums), but it can also be approximated by trapezoids. Trapezoidal sums actually give a …

Course: AP®︎/College Calculus AB > Unit 6 Lesson 2: Approximating areas with Riemann sums ... Left & right Riemann sums Worked example: over- and under-estimation of Riemann sums Over- and …

Now let's do some approximations without the aid of graphs. Imagine we're asked to approximate the area between the x -axis and the graph of f from x = 1 to x = 10 using a right Riemann sum with three …

Estimating the area under a curve with trapazoids instead of rectangles can give a closer approximation.

Review how we use Riemann sums and the trapezoidal rule to approximate an area under a curve.

The average of the left hand rectangle approximations and right hand rectangle approximations is called the trapezoidal approximation. This is because when you average the left and right sums, you get the …

The area under a curve is commonly approximated using rectangles (e.g. left, right, and midpoint Riemann sums), but it can also be approximated by trapezoids. Trapezoidal sums actually give a …

Now let's do some approximations without the aid of graphs. Imagine we're asked to approximate the area between the x -axis and the graph of f from x = 1 to x = 10 using a right Riemann sum with three …

Worked example: over- and under-estimation of Riemann sums Over- and under-estimation of Riemann sums Midpoint sums Trapezoidal sums Understanding the trapezoidal rule Riemann sums review …