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4.3 Finding Area Under A Curve Using Area Formulas Objective: Understand Riemann sums, evaluate a definite integral using limits and evaluate using properties AP Calculus AB
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Riemann Sum
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Area under the curve between a and b. The integral is equal to the area under the curve only if the curve lies entirely above the x-axis. Theorem 45 on Pg. 274 Today, we are only using formulas for shapes that we know a b
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Evaluate Using Formulas 1 3
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3 5 (3, 3) (5, 5)
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Evaluate Using Formulas -82 (-8, 0) (2, 5)
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Evaluate Using Formulas (-3, 0)(0,0)
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Evaluate Using Formulas (0, 0) (a, 0) (0, a) (a, 3a)
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Formative Assessment Pg. 278-279 (13-32) Answers to Even Problems 24) 8a 26) 4 28) 32
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