Which of the following is equivalent to ∫3x(x+1) dx\displaystyle \int \frac{3}{x(x+1)} \, dx∫x(x+1)3dx?
3ln∣x2+x∣+C3 \ln |x^2 + x| + C3ln∣x2+x∣+C
32x+1ln∣x2+x∣+C\dfrac{3}{2x+1} \ln |x^2 + x| + C2x+13ln∣x2+x∣+C
3tan−1x+C3 \tan^{-1} x + C3tan−1x+C
3ln∣xx+1∣+C3 \ln \left| \dfrac{x}{x+1} \right| + C3lnx+1x+C
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