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∫x/(x^8-1)dx详细过程!谢谢!

题目详情
∫x/(x^8-1)dx 详细过程!谢谢!
▼优质解答
答案和解析
答:∫x/(x^8-1)dx=∫1/2*(x/(x^4-1)-x/(x^4+1))dx=1/2∫1/2*(x/(x^2-1)-x/(x^2+1))dx-1/2∫x/(x^4+1)dx=1/4∫x/(x^2-1)dx-1/4∫x/(x^2+1)dx-1/2∫x/(x^4+1)dx=1/8∫1/(x^2-1)d(x^2-1)-1/8∫1/(x^2+1)d(x^2+1)-1/4∫...