Re: [理工] [工數]-積分
※ 引述《zx33571163 (mm)》之銘言：
: ∫sint/t 積分
: 怎積阿
: 不太會打積分那條線= =
(1)
e^iz π
∮ ─── dz = πi Res(f﹐0) = ──
c z 2
(2)
∞ ∞ -ty
∫ sint (∫ e dy) dt
0 0
積分對調
∞∞ -ty
=∫∫ sint e dtdy
0 0
∞ 1
=∫ ─── dy
0 1+y^2
-1 ∞ π
=tan y │ = ──
0 2
(3)
∞ sint 0t sint │
∫ ──── e dt = ￡{ ───}│
0 t t │s=0
∞ 1 │
= ∫ ──── ds │
s s^2 +1 │ s=0
-1 │∞
= tan s │s=0
π
= ────
2
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 59.105.159.190
※ 編輯: CRAZYAWIND 來自: 59.105.159.190 (10/11 22:43)
推
10/11 23:01, , 1F
10/11 23:01, 1F
推
10/11 23:15, , 2F
10/11 23:15, 2F
→
10/11 23:45, , 3F
10/11 23:45, 3F
推
10/12 00:46, , 4F
10/12 00:46, 4F
推
10/12 00:59, , 5F
10/12 00:59, 5F
→
10/12 01:00, , 6F
10/12 01:00, 6F
推
10/13 23:13, , 7F
10/13 23:13, 7F
討論串 (同標題文章)