<p>I know the trapezoid methods are on it, but are the rectangular/midpoint ones on the ap exm?</p>
<h1>4 of the FRQs on the 2006 AP Calculus AB Exam asked for a Midpoint Riemann Sum</h1>
<p>You’ve gotta be ****ting me…</p>
<p>No joke, go back and check at AP Central. Riemann sums have appeared every year for at least the past 7 years, which is as far back as I’ve checked on the past FRQs. They’ve asked for all of these types: trapezoid, left, right, and midpoint over the past years.</p>
<p>I believe right hand sum was part of AB last year. So, pretty much you have to learn how to do them. It’s a good thing Simpson’s rule is not on the AP exam.</p>
<p>But really, why are you worried? It’s just adding up the areas.</p>
<p>In addition to the calculations, you’ll frequently be asked whether those estimates represent an overestimate or underestimate of the actual integral.</p>
<p>Simpson’s rule is a b*tch</p>
<p>Is Simpson’s rule on the AB test?</p>
<p>I’m self-studying AB and I have the most trouble understanding the left, right, midpoint, and trapezoid sums. ?_?</p>
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<p>No, they removed the Simpson’s rule</p>
<p>I just found from the PR there are formulas you can just memorize for those Reinman sum rules.</p>
<p>For all the formulas, the x can be found using x = a + (b - a)/n(i), where is any integer under the interval of [a, b]</p>
<p>For the Trapezoid rule, it is simply</p>
<p>(b - a)/2n[f(a) + 2f(x1) + 2f(x2)…2f(xn-1) + f(b)]</p>
<p>For the Midpoint rule, it is simply</p>
<p>(b - a)/n[f(x(1/2)) + f(x(3/2)) + …f(x(i-1)/2)] </p>
<p>For the Right endpoints</p>
<p>(b - a)/n[y1 + y2 + y3…yn]</p>
<p>For the Left endpoints</p>
<p>(b - a)/n[y0 + y1…+ yn-1]</p>
<p>Notice how the Midpoint and the Right rectangular method both starts at y1 and left and trapezoid begins with y0?</p>
<p>I didn’t ask that :/</p>
<p>anyways, the LMR approximations are all rectangles, it just depends whether you take the left endpoint f(x), mid point f(x), or right endpoint f(x), multiplied by delta x.</p>
<p>My calc teacher gave us a program for the 84 that does approximations (LMR).</p>
<p>Just as a note: a lot of the Riemann sum and Trapezoidal Rule questions are using tables these days, and usually with uneven intervals, to the point where a lot of lemone’s formulas won’t actually do the trick.</p>
<p>And no, Simpson’s Rule isn’t on the AP Exam (AB or BC).</p>
<p>Yeah I noticed that…</p>