https://www.khanacademy.org/math/ap-calculus-ab/x2dd7feea:ap-calculus-ab-free-response-questions-from-multiple-units/x2dd7feea:free-response-questions-that-involve-concepts-from-multiple-units/a/multi-unit-frqs 2026-06-25T15:40:55.094699315Z Multi-Unit FRQs What types of questions focus on concepts from multiple units? What makes a high-quality response? How are the responses scored? This article walks you through these questions. article https://www.khanacademy.org/math/ap-calculus-ab/x2dd7feea:ap-calculus-ab-free-response-questions-from-multiple-units/x2dd7feea:free-response-questions-that-involve-concepts-from-multiple-units/v/estimating-average-value-with-trapezoidal-sum-ap-calculus-ab-free-response-2011-2b 2026-06-29T20:40:47.259641521Z Estimating average value with trapezoidal sum AP Calculus AB free response 2011 2b Estimating the average value of a function using a trapezoidal sum. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/87b30cd4-7bca-406e-9e18-b897bc152be8_1280_720_base.png Estimating average value with trapezoidal sum AP Calculus AB free response 2011 2b Estimating the average value of a function using a trapezoidal sum. https://cdn.kastatic.org/ka-youtube-converted/qS7P8pOgYTI.mp4/qS7P8pOgYTI.mp4 338 Free response questions that involve concepts from multiple units https://www.khanacademy.org/math/ap-calculus-ab/x2dd7feea:ap-calculus-ab-free-response-questions-from-multiple-units/x2dd7feea:free-response-questions-that-involve-concepts-from-multiple-units/v/2011-calculus-ab-free-response-4a 2026-06-29T20:40:47.259641521Z Using equations involving integrals: 2011 Calculus AB free response #4a Taking derivatives and integrals of strangely defined functions Sal Khan video https://cdn.kastatic.org/googleusercontent/gcLr6OMHG49AYLminhRW449lzLH8KtSjJof52Jlfc6hx613NUQghUd8lmDdiP6s_mBoW_WBLu9Pt3wMadgFp2MJhFA Using equations involving integrals: 2011 Calculus AB free response #4a Taking derivatives and integrals of strangely defined functions https://cdn.kastatic.org/ka-youtube-converted/tnoPnyvVjyc.mp4/tnoPnyvVjyc.mp4 288 Free response questions that involve concepts from multiple units https://www.khanacademy.org/math/ap-calculus-ab/x2dd7feea:ap-calculus-ab-free-response-questions-from-multiple-units/x2dd7feea:free-response-questions-that-involve-concepts-from-multiple-units/v/differentiating-implicitly-and-determining-concavity-ap-calculus-ab-bc-2015-4b 2026-06-29T20:40:47.259641521Z Differentiating implicitly and determining concavity AP Calculus AB BC 2015 4b Differentiating implicitly and determining concavity of a given differential equation Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/29da3c84-d4ca-4e15-b30a-b91fb6983a56_1280_720_base.png Differentiating implicitly and determining concavity AP Calculus AB BC 2015 4b Differentiating implicitly and determining concavity of a given differential equation https://cdn.kastatic.org/ka-youtube-converted/gPEgwN4ZHCA.mp4/gPEgwN4ZHCA.mp4 494 Free response questions that involve concepts from multiple units