\int x\sqrt{x + 2}\,dx is equal to: — Mathematics 2022

Question 138 Mathematics 2022 Medium MCQ +5.00 marks · -1.00 negative

\(\int x\sqrt{x + 2}\,dx\) is equal to:

A. \(\frac{2}{5}(x + 2)^{\frac{5}{2}} - \frac{4}{3}(x + 2)^{\frac{3}{2}} + C\) B. \(\frac{2}{5}(x + 2)^{\frac{5}{2}} + \frac{4}{3}(x + 2)^{\frac{3}{2}} + C\) C. \(\frac{1}{5}(x + 2)^{\frac{5}{2}} + \frac{2}{3}(x + 2)^{\frac{3}{2}} + C\) D. \(\frac{2}{5}(x + 2)^{\frac{5}{2}} + \frac{4}{3}(x + 2)^{\frac{3}{2}} + C\)

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