? asked in 科學數學 · 1 decade ago

幫忙翻譯The area under the graph o

The area under the graph of a function

Let f be a nonnegative continuous function on [a,b]

The the area of the region under the graph of f is A= lim(n→∞) [f(x1)+f(x2)+…+f(xn)] △x

Where x1,x2,…,xn are arbitrary points in the n subintervals of [a,b] of equal width △x=(b-a)/n

2 Answers

Rating
  • linch
    Lv 7
    1 decade ago
    Favorite Answer

    函數圖形下的面積

    令 f 是一個在 [a, b] 區間內的非負連續函數

    在函數圖形下的面積是 A= lim(n→∞) [f(x1)+f(x2)+…+f(xn)] △x

    這裡的 x1,x2,…,xn 分別是在 [a,b] 區間的 n 等份子區間內的任意一點,其中子區間寬度為 △x=(b-a)/n

  • 蜉蝣
    Lv 6
    1 decade ago

    黎曼和定義積分

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