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Integrate the functions 1/(x^(1/2)+x^(...

Integrate the functions
`1/(x^(1/2)+x^(1/3))` [Hint: `1/(x^(1/2)+x^(1/3))=1/(x^(1/3)(1+x^(1/6)))`, put `x=t^(6)`]

Text Solution

Verified by Experts

The correct Answer is:
`2sqrtx-3x^(1/3)+6x^(1/6)-6log(1+x^(1/6))+C`
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