Integrate the functions \[ \frac{1}{x^{\frac{1}{2}}+x^{\frac{1}{3}}...

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