Somas de Riemann Motivação e definição

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Introduzimos as somas de Riemann, essenciais para a definição de integral. Nós motivamos sua definição a partir de um problema bem simples: estimar a área da região abaixo do gráfico de uma função não negativa definida em um intervalo [a,b] . Esta região pode ser aproximada por uma união de certos retângulos que não se sobrepõem, cada um deles tendo como base um subintervalo de [a,b]. A soma das áreas destes retângulos é uma soma de 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