用分部积分法求∫xln(1+x^2)dx

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用分部积分法求∫xln(1+x^2)dx
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用分部积分法求∫xln(1+x^2)dx
用分部积分法求∫xln(1+x^2)dx

用分部积分法求∫xln(1+x^2)dx
∫xln(1+x^2)dx
= (1/2)∫ln(1+x^2)d(1+x^2)
= (1/2)[(ln(1+x^2)(1+x^2))-(1+x^2)]

∫xln(1+x^2)dx
= (1/2)∫ln(1+x^2)d(1+x^2)
= (1/2)[(ln(1+x^2)(1+x^2))-(1+x^2)]