Mathematical Methods · Unit 4 · Further integration · Applications of integration
Model and solve problems that involve definite integrals, including motion problems, with and without technology.
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Calculate total change by integrating instantaneous or marginal rates of change, with and without technology.
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Use the trapezoidal rule, ∫ 𝑓(𝑥) 𝑏 𝑎 𝑑𝑥 ≈ 𝑤 2 [𝑓(𝑥0) + 2(𝑓(𝑥1) + 𝑓(𝑥2) + 𝑓(𝑥3)+... 𝑓(𝑥𝑛−1)) + 𝑓(𝑥𝑛)], where 𝑤 = 𝑏−𝑎 𝑛, to approximate an area and the value of a definite integral, with and without technology.