Integrate the functionsx21+x311[Hint: x21+x311=x31(1+x61)1, put x=t6]

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Question

Integrate the functions $\frac{1}{x ^{\frac{1}{2}} + x ^{\frac{1}{3}}}$ [Hint: $\frac{1}{x ^{\frac{1}{2}} + x ^{\frac{1}{3}}} = \frac{1}{x ^{\frac{1}{3}} ( 1 + x ^{\frac{1}{6}} )}$ , put $x = t^{6}$ ]

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Integrate the functions

\frac{1}{x ^{\frac{1}{2}} + x ^{\frac{1}{3}}}

[Hint:

\frac{1}{x ^{\frac{1}{2}} + x ^{\frac{1}{3}}} = \frac{1}{x ^{\frac{1}{3}} ( 1 + x ^{\frac{1}{6}} )}

, put

x = t^{6}

]

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Question Text

Integrate the functions

\frac{1}{x ^{\frac{1}{2}} + x ^{\frac{1}{3}}}

[Hint:

\frac{1}{x ^{\frac{1}{2}} + x ^{\frac{1}{3}}} = \frac{1}{x ^{\frac{1}{3}} ( 1 + x ^{\frac{1}{6}} )}

, put

x = t^{6}

]