微积分公式
Dxsi
xcosx
si
xdxcosxC
cosxsi
x
cosxdxsi
xC
ta
xsec2x
ta
xdxl
secxC
cotxcsc2x
cotxdxl
si
xC
secxsecxta
x
secxdxl
secxta
xC
cscxcscxcotx
cscxdxl
cscxcotxC
Dx
si
1

xa

1a2x2
cos1x1
a
a2x2
si
1xdxxsi
1x1x2Ccos1xdxxcos1x1x2Cta
1xdxxta
1xl
1x2C
ta
1

xa

a2
a
x2
cot1

xa

aa2x2
cot1xdxxcot1xl
1x2Csec1xdxxsec1xl
xx21C
sec1x
a
csc1xdxxcsc1xl

axx2a2xx21C
csc1xaaxx2a2
si
1xsi
1xcos1xcos1xta
1xta
1xcot1xcot1xsec1xsec1xcsc1xcsc1x
si
h1xl
xa2x2xRa
cosh1xl
xx2a2x1a
ta
h1x
1
axl
x1
a2aax
coth1x
1
xal
x1
a2axa
sech1xl
1
a
x
1x2x2
0x
1
csch1xl
1ax
1x2x2x0
Dxsi
hxcoshxcoshxsi
hxta
hxsech2xcothxcsch2xsechxsechxta
hxcschxcschxcothx
si
hxdxcoshxC
coshxdxsi
hxC
ta
hxdxl
coshxC
cothxdxl
si
hxC
sechxdx2ta
1exC
1ex
cschxdx2l

C
1e2x
duvudvvdu
duvuvudvvdu→udvuvvducos2θsi
2θcos2θcos2θsi
2θ1cosh2θsi
h2θ1cosh2θsi
h2θcosh2θ
fDx
si
h1
xa

si
h1xdxxsi
h1x1x2C
si
3θ3si
θ4si
3θcos3θ4cos3θ3cosθ
1a2x2
cosh1xdxxcosh1xx21C
→si
3θ3si
θsi
3θ→cos3θ3cosθcos3θ
cosh1x
1
a
x2a2
ta
h1xdxxta
h1xl
1x2Ccoth1xdxxcoth1xl
1x2C
ejxejx
si
x
cosx
2j
ta
h1xa
aa2x2
sech1xdxxsech1xsi
1xCcsch1xdxxcsch1xsi
h1xC
ejxejx2
coth1
xa

aa2x2
sech1xaaxa2x2
γ
a
R
b
α
β
c
exex
exex
si
hx
coshx
2
2
正弦定理asi

csch1xaaxa2x2
b
c
2R
si
si

余弦定理a2b2c22bccosα
b2a2c22accosβ
c2a2b22abcosγ
si
α±βsi
αcosβ±cosαsi
βcosα±βcosαcosβsi
αsi
β
si
αsi
β2si
αβcosαβsi
αsi
β2cosαβsi
αβ
2si
αcosβsi
αβsi
αβ
cosαcosβ2cosαβcosαβ
2cosαsi
βsi
αβsi
αβ
cosαcosβ2si
αβsi
αβ
2cosαcosβcosαβcosαβ2si
αsi
βcosαβcosαβ
ta

α
±β

ta
ta

ta
ta


cot
α
±
β
cotcot
cotcot
ex1xx2x3…x
…
23


x3x5x7
1
x2
1
si
xx…
…
357
2
1
x2x4x6
1
x2

cor