标准微分和积分
微分方程和积分。
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差异
(d / dx) xn= n xn - 1(1)
(d / dx) ln x = 1 / (2)
(d / dx) e斧头e =一个斧头(3)
(d / dx)x=一个xln (4)
(d / dx) xx= xx(1 + ln x) (5)
(d / dx) sin (x) = cos x (6)
(d / dx)因为x = - sin (x) (7)
(d / dx)谢谢=秒2x (8)
(d / dx) x = -余割床2x (9)
(d / dx)罪1x = 1 / (1 - x2)1/2(10)
因为(d / dx)1x = 1 / (1 - x2)1/2(11)
(d / dx)1x = 1 / (1 + x2)(12)
床(d / dx)1x = 1 / (1 + x2)(13)
积分
∫xndx = xn + 1/ (n + 1) n≠- 1 (14)
∫1 / x dx = ln x (15)
∫e斧头dx = e斧头/一个≠0 (16)
∫一xdx =一个x/ ln > 0,≠1 (17)
∫lnx dx = x (ln x - 1) (18)
∫sin (x) dx = - cos x (19)
∫cos dx = sin (x) (20)
∫tanxdx = - ln (cos (x) (21)
∫床dx = ln (sin (x)) (22)
∫交会2dx = tan x (23)
∫余割2dx = -床x (24)
∫1 / (1 - x2)1/2dx =罪1x| | x < 1 (25)
∫1 / (1 + x2)dx = tan1x | | < 1 (26)
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