PCSI2 — Corrig´e de l’interrogation du 02/12/2008
Complexe Int´egrale Ens.d´ef. Equation´
A 4−4i√
3 π√ 3−3
24 [0,2/3] −5,−(5−i),5−2i B 8−8i√
3 π√ 2 24 −
√2 18 −1
9 ]− ∞,0] 3,−3 + 3i,5 + 3i C −1 +i√
3 −3 32−π√
3
24 {0} −5,5−5i,−(4 +i) D 4−4i
√3 8 − π
24 [−3,−1]∪[1,3] −5,5 + 2i,−4 + 3i E −1 +i√
3
√2 18 +π√
2
24 [0,2] −3,5 + 2i,4−3i
F 8−8i π
24−
√3
32 [1,5/3] −3,−(1 + 5i),−(2 + 2i) G 4 + 4i√
3 −1
8 −5π√ 3
24 [−1,1] −5,1−4i,1 +i H 8 + 8i√
3
√2 18 +π√
2 8 −1
9 [1,9] 4,5 +i,1 + 4i I −1−i√
3 −3
32+5π√ 3
24 [−1,1] −3,4 + 2i,−2 + 4i
J 4−4i −
√3 8 −5π
24 [1,2] −3,−5 + 3i,−5 + 2i K −1−i√
3
√2 18 −π√
2
8 ]− ∞,0] −4,3i,−5 + 4i L 8−8i
√3 32 +5π
24 [−√
2/2,√
2/2] −4,1 + 3i,−2 + 2i
[interro-1-correction] Compos´e le 28 d´ecembre 2010