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Integration by Partial Fractions

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∫3x(x+1) dx=\displaystyle \int \frac{3}{x(x+1)} \, dx =

A

32x+1ln⁡∣x2+x∣+C\dfrac{3}{2x+1} \ln |x^2 + x| + C

B

3tan⁡−1x+C3 \tan^{-1} x + C

C

3ln⁡∣xx+1∣+C3 \ln \left| \dfrac{x}{x+1} \right| + C

D

3ln⁡∣x2+x∣+C3 \ln |x^2 + x| + C

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