Find the indefinite integral \( \int\left(\frac{1}{\sqrt[3]{x}+\sqrt[4]{x}}+\frac{\ln (1+\sqrt[6...

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Find the indefinite integral \( \int\left(\frac{1}{\sqrt[3]{x}+\sqrt[4]{x}}+\frac{\ln (1+\sqrt[6]{x})}{\sqrt[3]{x}+\sqrt{x}}\right) d x \)
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