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微积分公式
Dxsi
xcosxcosxsi
xta
xsec2xcotxcsc2xsecxsecxta
xcscxcscxcotxx1Dxsi
1aa2x2
xcos1aaxta
12aax2xcot1axasecaxx2a2
1
si
xdxcosxCcosxdxsi
xC
ta
xdxl
secxCcotxdxl
si
xCsecxdxl
secxta
xCcscxdxl
cscxcotxCsi
1xdxxsi
1x1x2Ccos1xdxxcos1x1x2Cta
xdxxta
xl
1xCcot1xdxxcot1xl
1x2Csec1xdxxsec1xl
xx21C
11
2
si
1xsi
1xcos1xcos1xta
1xta
1xcot1xcot1xsec1xsec1xcsc1xcsc1x
xsi
h1l
xa2x2xRaxcosh1l
xx2a2x1a1axxta
h1l
x1axa2a
1
1
2
1xaxcoth1l
x1xaa2acscxdxxcscxl
xx1C1x1x2sechl
0x1xax2
1
csc1xaDxsi
hxcoshxcoshxsi
hxta
hxsech2xcothxcsch2xsechxsechxta
hxcschxcschxcothx
xDxsi
ha
1
si
hxdxcoshxCcoshxdxsi
hxCta
hxdxl
coshxCcothxdxl
si
hxCsechxdx2ta
1exCcschxdx2l
1
x11x2cschl
x0axx2duvudvvdu
1
1ex1e2x
1
C
2
duvuvudvvdu→udvuvvducos2si
2cos2cos2si
21cosh2si
h21cosh2si
h2cosh2si
33si
4si
3cos34cos33cos→si
33si
si
3→cos33coscos3
1a2x21xa
22
si
hxdxxsi
hx1xCcosh1xdxxcosh1xx21C
xcosh1a
axta
h12ax2axcoth1axasech1axa2x2
ta
h1xdxxta
h1xl
1x2Cejxejxejxejxsi
xcosx22jcoth1xdxxcoth1xl
1x2Csech1xdxxsech1xsi
1xCcsch1xdxxcsch1xsi
h1xCR
β
ac
γα
b
exexexexcoshx22abc正弦定理2Rsi
si
si

si
hx
csch1xa
axa2x2
弦定理a2b2c22bccosΩb2a2c22accosc2a2b22abcos
fsi
α±βsi
αcosβ±cosαsi
βcosα±βcosαcosβsi
αsi
β2si
αcosβsi
αβsi
αβ2cosαsi
βsi
αβsi
αβ2cosαcosβcosαβcosαβ2si
αsi
βcosαβcosαβ
x2x3x
e1x……23
x
si
αsi
β2si
αβcosαβsi
αsi
β2cosαβsi
αβcosαcosβ2cosαβcosαβcosαcosβ2si
αβsi
αβta
α±β
ta
ta
cotcotr
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