求∫x^3/(x^2+2x+2)^2dx 尽量写详细点!谢谢啦!

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求∫x^3/(x^2+2x+2)^2dx 尽量写详细点!谢谢啦!
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求∫x^3/(x^2+2x+2)^2dx 尽量写详细点!谢谢啦!
求∫x^3/(x^2+2x+2)^2dx 尽量写详细点!谢谢啦!

求∫x^3/(x^2+2x+2)^2dx 尽量写详细点!谢谢啦!

三角换元

 

过程如下图: