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Objectives:To introduce students to Integral Calculus.
Anti-derivatives, area, the definite integral, indefinite integrals, the Fundamental Theorem of Calculus, the substitution rule, areas between curves, inverse functions, inverse trigonometric functions. Techniques of Integration. Tables of integrals, integration by parts, trigonometric integrals, Substitution, integration of rational functions, trapezoidal rule, Simpson''s Rule. Applications of Integration: Volumes and surfaces of revolution, length of a curve.