∫dx/(1+x3)=?

题目详情

∫dx/(1+x3)=?

▼优质解答

答案和解析

=∫dx/[(x+1)(x²-x+1)] =∫[(1/3)/(x+1)+(-x/3+2/3)/(x²-x+1)]dx =(1/3)ln│x+1│+(1/6)∫(3+1-2x)/(x²-x+1)dx =(1/3)ln│x+1│+(1/2)∫dx/(x²-x+1)-(1...

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