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Techniques of integration: integration by parts, trigonometric integrals, trigonometric substitutions, partial fractions, rationalizations, half-angle substitution, and improper integrals. Applications of definite integrals: areas between two curves, volumes by washers and cylindrical shells, arc length, and area of a surface. The concept of infinite series and tests of convergence. Power series: Maclaurin and Taylor expansion, differentiation and integration of power series. Polar coordinates, graphs in polar coordinates, and areas in polar coordinates
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