高等数学，我照着课本的分部积分公式写，老师说是错的。请问一下正确该咋写啊？谢谢
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I = (1/2)∫<0, 1>arctanxd(x^2)
= (1/2)[x^2arctanx]<0, 1> - (1/2)∫<0, 1>[x^2/(1+x^2)]dx
= π/8 - (1/2)∫<0, 1>[1-1/(1+x^2)]dx
= π/8 - (1/2)[x-arctanx]<0, 1> = π/8 - (1/2)[1-π/4] = (π-2)/4
= (1/2)[x^2arctanx]<0, 1> - (1/2)∫<0, 1>[x^2/(1+x^2)]dx
= π/8 - (1/2)∫<0, 1>[1-1/(1+x^2)]dx
= π/8 - (1/2)[x-arctanx]<0, 1> = π/8 - (1/2)[1-π/4] = (π-2)/4
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