(2x + 4) + 1 (2x +4) +1 dx: x2 + 4x + 5 x2 + 2x- 10 2 2 2 Consider dx = x2 (x2 + 4x + 5) dx evaluate UA x2 x2 + 4x + 5 x2 2 -In(x2 + 4x+ 5) + Arctan(x + 2) +C 2lnx + - 2 - In(x2 + 4x +5) - Arctan(x+2)+ C 2lnx 2lnx + - In(x2 + 4x+5) - Arctan(x+2) + c -- 2 - In(x2 + 4x + 5) + Arctan(x+ 2) + C 2lnx

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