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∫dx/(4x^2+4x+5)= =∫dx/[(2x+1)²+2²]= =(1/4)∫dx/[(x+1/2)²+1]= =(1/4)∫d(x+1/2)/[(x+1/2)²+1]= =(1/4)arctan(x+1/2)+c
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