Mathematics

Problem

Evaluate

\displaystyle \int \frac{\tfrac12 x^{3}+\tfrac34 x^{2}-5}{x+2}\,dx

. a) \dfrac{x^{3}}{6}-\dfrac{x^{2}}{8}+\dfrac{x}{2}+6\ln|x+2|+C b) \dfrac{x^{3}}{6}-\dfrac{x^{2}}{4}+\dfrac{x}{2}-6\ln|x+2|+C c) \dfrac{x^{3}}{6}-\dfrac{x^{2}}{8}+\dfrac{x}{2}-6\ln|x+2|+C d) \dfrac{x^{3}}{6}-\dfrac{x^{2}}{8}+\dfrac{x}{2}-3\ln|x+2|+C

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