求兩題積分

2011-08-08 6:08 am
求積分的正確值
1. ∫ (sinx-cosx)/(3sin²x - 4sinx cosx + 6cos²x) dx
2. ∫_[0,π] (sinx-cosx)/(3sin²x - 4sinx cosx + 6cos²x) dx

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回答 (3)

2011-08-09 2:58 am
{√2 arctan(√2) + (3/√7) ln[(4+√7)/3] } / 5
2011-08-08 6:26 pm
t-substitution:
let tan x/2 = t...
then integrate it using partial fractions


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