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  1. Understanding the trapezoidal rule (article) | Khan Academy

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

  2. Trapezoidal sums (video) | Khan Academy

    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 …

  3. Midpoint and trapezoidal sums in summation notation

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

  4. Midpoint & trapezoidal sums (practice) | Khan Academy

    Practice problems on the trapezoid rule for numerical integration in AP Calculus AB.

  5. Left & right Riemann sums (article) | Khan Academy

    These sorts of approximations are called Riemann sums, and they're a foundational tool for integral calculus. Our goal, for now, is to focus on understanding two types of Riemann sums: …

  6. Riemann sums review (article) | Khan Academy

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

  7. Trapezoidal sums (video) | Integrals review | Khan Academy

    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 …

  8. Over- and under-estimation of Riemann sums - Khan Academy

    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 …

  9. Midpoint & trapezoidal sums (practice) | Khan Academy

    Midpoint & trapezoidal sums Google Classroom Microsoft Teams You might need: Calculator

  10. Khan Academy

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