Primitives usuelles
Fonction
Primitive
1
X t--+ lnlxl
JR*
XH -
X
XH ex
XH eX
lR
X H COSX
x 1-+ sinx
lR
x H sinx
X H -COSX
lR.
x H tanx
x H - 1 n 1 cos xi
IR\ {; +br, k E z}
1
X H - -
cos2x
x 1-+ tanx
JR\ 1; +br, k E z}
1
x 1-+ - cotanx = -1
-
R\7f Z
XH - -
sin 2 x
tanx
1
l - 1, 1 [
X Hx H arccosx
v1 - x 2
1
x H arcsinx
l - 1, 1 [
XH ~
1
XH - -
1 +x2
x 1-+ arctanx
x 1-+ chx =
eX + e-X
X t--+ shx
2
x H shx =
eX - e- x
x1-+ chx
2
shx
x H ln(chx)
XHthX = -
lR
chx
1
X H th X
IR\ { ~ + k 7f, k E z}
XH - -
ch 2 x
1
x 1-+ -cothx
R*
X H - -
sh 2 x
XH
vx2+1
x 1-+ argsh x
"O
0
c::
XH
x 1-+ argchx
::J
~
0
v
1
..-!
Xt--+ - -
x H argthx
0
1 - x 2
N
@
~
XH lnx
x 1-+ xlnx-x
IR*
..c::
+
Ol
ï::::
>a.
0
u
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