高等数学 求导数的微积分、不定积分公式?(要所有的)

Question

如题所述

Answer 1

1. d(c) = 0
2. d(x^a) = a*x^(a-1)dx
3. d(ln|x|) = 1/xdx
4. d(log_a|x|) = 1/(xlna)dx
5. d(e^x) = e^xdx
6. d(a^x) = lna*a^xdx
7. d(sinx) = cosxdx
8. d(cosx) = -sinxdx
9. d(tanx) = secx^2dx
10. d(cotx) = -cscx^2dx
11. d(shx) = chxdx
12. d(chx) = shxdx
13. d(thx) = 1/chx^2dx
14. d(arcsinx) = 1/根号(1-x^2)dx
15. d(arccosx) = -1/根号(1-x^2)dx
16. d(arctanx) = 1/(1+x^2)dx
17. d(arccotx) = -1/(1+x^2)dx
18. d(arcshx) = 1/根号(1+x^2)dx
19. d(arcchx) = 1/轮穗根号(x^2-1)dx
20. d(arcthx) = 1/(1-x^2)dx
不定积分的计算通常依据这些基本公式进行转换和求解。