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∫x/(x²+2x+2)dx=1/2*∫(2x+2-2)/(x²+2x+2)dx =1/2*∫(2x+2)/(x²+2x+2)dx-∫1/(x²+2x+1+1)dx =1/2ln(x²+2x+2)+arctan(x+1)+C
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