Question

这个是微积分的公式

Answer 1

积分微分，导数的逆运算
(1)∫x^αdx=x^(α
1)/(α
1)
C(α≠-1)
(2)∫1/xdx=ln|x|
C
(3)∫a^xdx=a^x/lna
C
∫e^xdx=e^x
C
(4)∫cosxdx=sinx
C
(5)∫sinxdx=-cosx
C
(6)∫(secx)^2dx=tanx
C
(7)∫(cscx)^2dx=-cotx
C
(8)∫secxtanxdx=secx
C
(9)∫cscxcotxdx=-cscx
C
(10)∫1/(1-x^2)^0.5dx=arcsinx
C
(11)∫1/(1
x^2)=arctanx
C
(12)∫1/(x^2±1)^0.5dx=ln|x
(x^2±1)^0.5|
C
(13)∫tanxdx=-ln|cosx|
C
(14)∫cotxdx=ln|sinx|
C
(15)∫secxdx=ln|secx
tanx|
C
(16)∫cscxdx=ln|cscx-cotx|
C
(17)∫1/(x^2-a^2)dx=(1/2a)*ln|(x-a)/(x
a)|
C
(18)∫1/(x^2
a^2)dx=(1/a)*arctan(x/a)
C
(19)∫1/(a^2-x^2)^0.5dx=arcsin(x/a)
C
(20)∫1/(x^2±a^2)^0.5dx=ln|x
(x^2±a^2)^0.5|
C