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8 Integrals and Quadrature 8.1 The Denite Integral .1 Upper and Lower Sums .

8 Integrals and Quadrature 8.1 The Denite Integral . . . . . . . . . . . . . . . . . . . . . . . . . . . 8.1.1 Upper and Lower Sums . . . . . . . . . . . . . . . . . . . . . 8.1.2 Approximating the Integral . . . . . . . . . . . . . . . . . . . 8.1.3 Simple and Composite Rules . . . . . . . . . . . . . . . . . . 8.2 Trapezoidal Rule . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8.2.1 How Good is the Composite Trapezoidal Rule?

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