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Standards/Math/Arkansas/I.3.C

I.3.C

I.3 I.3
I.3.C
I.3.C.1I.3.C.2I.3.C.3I.3.C.4I.3.C.5I.3.C.6I.3.C.7

I.3.C

I.3.C.1Define the definite integral of the rate of change of a quantity over an interval interpreted as the change of the quantity over the interval ∫{a to b} f’(x)dx = f(b) – f(a)I.3.C.2Determine the area between two curves, and identify the definite integral as the area of the region bounded by two curvesI.3.C.3Apply the Fundamental Theorem of Calculus to solve contextual models that represent real-world phenomenaI.3.C.4Compute indefinite integralsI.3.C.5Determine the antiderivative of a function using rules of basic differentiation, and solve problems using the techniques of anti-differentiationI.3.C.6Estimate definite integrals by using Riemann sums and trapezoidal sums, and identify the definite integral as a limit of Riemann sumsI.3.C.7Explore and apply different integration techniques
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