Anti-derivative

2008-11-26 8:42 pm
Find an antiderivative F(x) with F '(x) = f(x) and F(0) = 7.
f(x) = sin(x)

What is F(x)?

回答 (1)

2008-11-26 9:36 pm
✔ 最佳答案
F'(x) = f(x) = sin x
S F'(x) dx = S f(x) dx = S sin x dx
F(x) = -cos x + C
For F(0) = 7,
7 = - cos (0) + C
7 = - 1 + C
C = 8
so F(x) = 8 - cos x.


收錄日期: 2021-04-25 22:35:50
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20081126000051KK00552

檢視 Wayback Machine 備份