AP

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

Problem

Determine ∫(ln⁡x) e(ln⁡x)2x dx\displaystyle \int \frac{(\ln x)\,e^{(\ln x)^2}}{x}\,dx. (a) 12x2+C\dfrac{1}{2} x^{2} + C (b) e(ln⁡x)2+Ce^{(\ln x)^{2}} + C (c) 12 e(ln⁡x)2+C\dfrac{1}{2}\,e^{(\ln x)^{2}} + C (d) 12x e(ln⁡x)2+C\dfrac{1}{2} x\,e^{(\ln x)^{2}} + C

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