If and ,…

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

If f′(x)=1x+xf'(x) = \frac{1}{x} + x and f(1)=5/2f(1) = 5/2, then f(x)=f(x) = (A) log⁡x+x22+2\log x + \frac{x^2}{2} + 2 (B) log⁡x+x22+1\log x + \frac{x^2}{2} + 1 (C) log⁡x−x22+2\log x - \frac{x^2}{2} + 2 (D) log⁡x−x22+1\log x - \frac{x^2}{2} + 1

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