If \[\int {{x}^{5}}{{(1+{{x}^{3}})}^{2/3}}dx=A{{(1+{{x}^{3}})}^{8/3}}+B{{(1+{{x}^{3}})}^{5/3}}+c\],then

\[A=-\frac{1}{8},B=\frac{1}{5}\]

\[A=\frac{1}{4},B=\frac{1}{5}\]

\[A=\frac{1}{8},B=-\frac{1}{5}\]

If \[\int {{x}^{5}}{{(1+{{x}^{3}})}^{2/3}}dx=A{{(1+{{x}^{3}})}^{8/3}}+

1.	If \[\int {{x}^{5}}{{(1+{{x}^{3}})}^{2/3}}dx=A{{(1+{{x}^{3}})}^{8/3}}+B{{(1+{{x}^{3}})}^{5/3}}+c\],then
A.	\[A=\frac{1}{4},B=\frac{1}{5}\]
B.	\[A=\frac{1}{8},B=-\frac{1}{5}\]
C.	\[A=-\frac{1}{8},B=\frac{1}{5}\]
D.	none of these
Answer» C. \[A=-\frac{1}{8},B=\frac{1}{5}\]

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If \[\int {{x}^{5}}{{(1+{{x}^{3}})}^{2/3}}dx=A{{(1+{{x}^{3}})}^{8/3}}+B{{(1+{{x}^{3}})}^{5/3}}+c\],then

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