Arkansas: I Math Standards

I.3

• I.3.C.1 Define 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.2 Determine the area between two curves, and identify the definite integral as the area of the region bounded by two curves
• I.3.C.3 Apply the Fundamental Theorem of Calculus to solve contextual models that represent real-world phenomena
• I.3.C.4 Compute indefinite integrals
• I.3.C.5 Determine the antiderivative of a function using rules of basic differentiation, and solve problems using the techniques of anti-differentiation
• I.3.C.6 Estimate definite integrals by using Riemann sums and trapezoidal sums, and identify the definite integral as a limit of Riemann sums
• I.3.C.7 Explore and apply different integration techniques