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Evaluate: int1/(sqrt(x)+4sqrt(x))dx...

Evaluate: `int1/(sqrt(x)+4sqrt(x))dx`

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`int1/(sqrt(x)+4sqrt(x))dx`
`I=int1/(sqrt(x)+4sqrt(x))dx`
Let `x=t^4`
`dx=4t^3dt`
`I=int(4t^3)/(t^2+t)dt`
`I=4int(t^2)/(t+1)dt`
`I=4int((t+1-1)^2)/(t+1)dt`
`I=4int(((t+1)^2-2(t+1)+1)/(t+1))dt`
...
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