∫（x-1）/（x^2+2x+3）dx的不定积分怎么求

∫(x-1)\/(x^2+2x+3)dx的不定积分怎么求
∫(x-1)\/(x²+2x+3)dx =½∫(2x-2)\/(x²+2x+3)dx =½∫(2x+2-4)\/(x²+2x+3)dx =½∫(2x+2)\/(x²+2x+3)dx - ½∫4\/(x²+2x+3)dx =½∫(2x+2)\/(x²+2x+3)dx - 2∫1\/(x²+2x+3)...

∫(x-1)\/(x^2+2x+3)dx的不定积分怎么求?
=½ln|x²+2x+3| - (√2)arctan[(x+1)\/√2] + C,24,分母下变成（X-1）(X+3). ∫（x-1）\/（x^2+2x+3）dx=∫1\/(X+3)dx =ln(x+3),3,

求(x-1)\/(x^2+2x+3)的不定积分
∫(x-1)\/(x²+2x+3)dx =½∫(2x-2)\/(x²+2x+3)dx =½∫(2x+2-4)\/(x²+2x+3)dx =½∫(2x+2)\/(x²+2x+3)dx - ½∫4\/(x²+2x+3)dx =½∫(2x+2)\/(x²+2x+3)dx - 2∫1\/(x²+2x+3)dx =&#...

∫(x+1)\/(x^2+2x+3)dx不定积分怎么求啊各位大神
∫（x+1）\/（x^2+2x+3）dx=1\/2∫2（x+1）\/(x^2+2x+3)dx =1\/2∫1\/(x^2+2x+3)d(x^2+2x+3)=1\/2ln(x^2+2x+3)

为什么求 ∫(x-1)\/(x^2+2x+3)dx 错了
你的结果就对，化到最后和答案一样！½ ln |(x^2+2x+3)\/2|＝½ ln |(x^2+2x+3)| ＋常数C 这是不定积分，结果应该加上常数C，而你的结果和答案就相差一个常数

x\/(x的平方+2x+3)dx的不定积分是多少?多谢,详细步骤
∫x\/(x的平方+2x+3)dx =∫x\/[(x+1)²＋2] dx =∫[(x+1)-1]\/[(x+1)²＋2] dx =∫[(x+1)\/[(x+1)²＋2] dx-∫1\/[(x+1)²＋2] dx =1\/2∫1\/(x的平方+2x+3) d(x的平方+2x+3) -1\/√2 arctan(x+1)\/√2+c =1\/2ln(x的平方+2x+...

1\/(x^2+2x+3)的不定积分。谢谢啦
3 2018-01-07 (x+3)\/(x2+2x+3)^2的不定积分 16 2013-12-30 ∫(1\/x²+2x+2)dx的不定积分!谢谢! 179 2016-02-17 1\/(x^2-2x-3)的不定积分怎么求? 1 2014-10-02 求不定积分∫1\/x√(x^2-2x+3) dx 2 2013-08-10 请问不定积分∫x^2(2x^3+1)dx 怎么算 更多...

x-2除以x^2+2x+3的不定积分怎么求
这道题可以直接用三角换元，最后是一个关于θ有关的式子，还原即可

求不定积分1\/x^2+2x+3
∫(x-1)\/(x²+2x+3)dx =½∫(2x-2)\/(x²+2x+3)dx =½∫(2x+2-4)\/(x²+2x+3)dx =½∫(2x+2)\/(x²+2x+3)dx - ½∫4\/(x²+2x+3)dx =½∫(2x+2)\/(x²+2x+3)dx - 2∫1\/(x²+2x+3)dx =&#...

求x–1\/x^2–2x–3不定积分
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