Evaluate the Integral by Making the Given Substitution $\int x^{2} \sqrt{x^{3}+2} d x, \quad \quad u=x^{3}+2$

question 54

Multiple Choice

Evaluate the integral by making the given substitution. $\int x^{2} \sqrt{x^{3}+2} d x, \quad \quad u=x^{3}+2$

• A) \(-\frac{2}{9}\left(x^{3}+2\right)^{3 / 2}+C\)
• B) \(\frac{2}{9}\left(x^{3}+2\right)^{3 / 2}\)
• C) \(\frac{1}{9}\left(x^{3}+2\right)^{1 / 2}+C\)
• D) \(\frac{2}{9}\left(x^{3}+2\right)^{1 / 2}+C\)
• E) \(\frac{2}{9}\left(x^{3}+2\right)^{3 / 2}+C\)

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