Annexe A
Primitives usuelles
Primitive
Intervalle
dt
t
= ln |t| + k
R ∗
cos t dt = sin t + k
R
dt
cos 2 t
= tan t + k
R \
π
2
+ kπ
k ∈ Z
dt
cos t
= ln
tan
t
2
+
π
4
+ k
R \
π
2
+ kπ
k ∈ Z
tan t dt = − ln | cos t| + k
R \
π
2
+ kπ
k ∈ Z
ch t dt = sh t + k
R
dt
ch
2 t
= th t + k
R
dt
ch t
= 2 Arctan e
t + k
R
th t dt = ln ch t + k
R
e
mt dt =
1
m
e
mt + k, (m ∈ C
∗ )
R
t
α dt =
t α+1
α + 1
+ k, (α ∈ R − {−1})
R
sin t dt = − cos t + k
R
c
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