1.

\[\int_{{}}^{{}}{\frac{{{x}^{5}}\ dx}{\sqrt{(1+{{x}^{3}})}}=}\]        [IIT 1975]

A.            \[\frac{2}{3}\sqrt{(1+{{x}^{3}})}({{x}^{3}}+2)\]
B.            \[\frac{2}{9}\sqrt{(1+{{x}^{3}})}({{x}^{3}}-4)\]
C.            \[\frac{2}{9}\sqrt{(1+{{x}^{3}})}({{x}^{3}}+4)\]
D.            \[\frac{2}{9}\sqrt{(1+{{x}^{3}})}({{x}^{3}}-2)\]
Answer» E.


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