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∫cotx dx = ∫cosx/sinx
令 u = sinx
du = cosx dx
原式= ∫1 /u u du
= ln ︱u︱ + c
= ln ︱sinx︱ + c
= ln ︱1/cscx︱ + c
= - ln ︱cscx︱+ c
∫cscx dx = ∫cscx(cotx-cscx) / (cotx-cscx) dx = ∫cotxcscx-csc2x/ (cotx-cscx) dx
令 u=(cotx-cscx)
du = - csc2x – (-cotxcscx) dx
= cotxcscx - csc2x
原式 = ∫ 1 /u du
= - ln︱u︱+ c
= - ln︱cotx-cscx︱ +c
- 檢舉不當內容
引用(38234) 2010-03-08 10:33
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