Основно съдържание

Интегрално смятане

Урок 5: Дефиниране на интеграли със суми на Риман

Определеният интеграл като граница на Риманова сума

Коя от границите е еквивалентна на следния определен интеграл?

integral, start subscript, 1, end subscript, start superscript, e, end superscript, natural log, x, d, x

(Избор А)
limit, start subscript, n, \to, infinity, end subscript, sum, start subscript, i, equals, 1, end subscript, start superscript, n, end superscript, natural log, left parenthesis, 1, plus, i, dot, start fraction, e, minus, 1, divided by, n, end fraction, right parenthesis, dot, start fraction, e, minus, 1, divided by, n, end fraction
(Избор Б)
limit, start subscript, n, \to, infinity, end subscript, sum, start subscript, i, equals, 1, end subscript, start superscript, n, end superscript, natural log, left parenthesis, i, dot, start fraction, e, minus, 1, divided by, n, end fraction, right parenthesis, dot, start fraction, e, minus, 1, divided by, n, end fraction
(Избор В)
limit, start subscript, n, \to, infinity, end subscript, sum, start subscript, i, equals, 1, end subscript, start superscript, n, end superscript, natural log, left parenthesis, 1, plus, start fraction, e, i, divided by, n, end fraction, right parenthesis, dot, start fraction, e, divided by, n, end fraction
(Избор Г)
limit, start subscript, n, \to, infinity, end subscript, sum, start subscript, i, equals, 1, end subscript, start superscript, n, end superscript, natural log, left parenthesis, 1, plus, start fraction, i, divided by, n, end fraction, right parenthesis, dot, start fraction, e, divided by, n, end fraction

Заседна ли?