∫ xln(x-1)dx

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∫xln(x-1)dx∫xln(x-1)dx∫xln(x-1)dx∫ln(x-1)d(x方/2)=x方/2×ln(x-1)-1/2∫x方/(x-1)dx=1/2x方ln(x-1)-1/2∫(x+1)+

∫ xln(x-1)dx
∫ xln(x-1)dx

∫ xln(x-1)dx
∫ln(x-1)d(x方/2)
=x方/2 ×ln(x-1)-1/2∫x方/(x-1)dx
=1/2x方ln(x-1)-1/2∫(x+1) +1/(x-1)dx
=1/2x方ln(x-1)-1/2(x+1)方 -ln(x-1)+c