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Evaluate: int(x^5)/(sqrt(1+x^3))\ dx...

Evaluate: `int(x^5)/(sqrt(1+x^3))\ dx`

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Given:`int(x^5)/(sqrt(1+x^3))\ dx`
`I=int(x^5)/(sqrt(1+x^3))\ dx`
Let `1+x^3=t^2`
`implies 3x^2dx=2tdt`
`implies x^2dx=2/3tdt`
Then
`I=int (2/3t(t^2-1))/(t)dt`
`I=int (2/3(t^2-1))dt`
...
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