Formulario Matemático Final
1
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FORMULARIO
Transcript of Formulario Matemático Final
-
Formulario Matemtico
Derivadas
()
= 1
()
= +
(
)
=
2
()
= ln
(sin )
= cos
(cos )
= sin
(tan )
= 2
(cot )
= 2
(sec )
= tan sec
(csc )
= cot csc
(sinh )
= cosh
(cosh )
= sinh
(tanh )
= 2
(coth )
= 2
(sech )
= tanh sech
(csch )
= coth csch
(sin1 )
=
12
(cos1 )
=
12
(tan1 )
=
1+2
(cot1 )
=
1+2
(sec1 )
=
21
(sec1 )
=
21
(vers )
= sin
(vers1 )
=
22
Integrales
= +
=+1
+1+
= ln +
=
ln +
=
+
sin = cos
+
cos =sin
+
tan = ln|sec | +
cot = ln|sin | +
sec = ln|sec + tan | +
csc = ln|csc cot | +
sec2 = tan +
csc2 = cot +
sec tan = sec +
csc cot = csc +
sinh = cosh +
cosh = sinh +
tanh = ln|cosh | +
coth = ln|sinh | +
sech2 = tanh +
csch2 = coth +
sech tanh = sech +
csch coth = csc +
22= 1(
) +
2+2=
1
1(
) +
22=
1
2ln |
+| +
22=
1
2ln |
+
| +
22=
1
1(
) +
22= ln( + 2 2) +
2 2 =
22 2 +
2
2sin1(
) +
2 2 =
22 2
2
2ln( + 2 2) +
sin1 = sin1 + 1 2 +
cos1 = cos1 1 2 +
tan1 = tan1 ln 1 + 2 +
cot1 = cot1 + ln 1 + 2 +
sec1 = sec1 cosh1 +
csc1 = csc1 + cosh1 +
sin2 =1
2
1
4sin 2 +
cos2 =1
2 +
1
4sin 2 +
cos sin = cos+1
+1+
sin cos =sin+1
+1+
sin = sin u cos +
cos = cos + u sin +
=
+
=
2( 1) +
=
1 +
=
ln +
=
ln
ln 1 +
=
(1)1+
ln
1
1 +
ln = ln +
u ln = ln (ln ) +
u ln = +1 [ln
+1
1
(+1)2] +
ln = ln
1
+
