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intdx/(sqrtx-root(3)(x))(x=t^6)...

`intdx/(sqrtx-root(3)(x))(x=t^6)`

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`intdx/(sqrtx-root(3)(x))` [Put`x=t^6
`dx=6t^5`]
=`(6t^2dt)/(t^3-t^2)=6int(t^3dt)/(t-1)=6int((t^3-1)+1)/(t-1)dt`
=`6int{t^2+t+1+1/(t-1)}dt`
=`6{1/3 t^3+1/2 t^2+t+Inabs(t-1)}+C`
=`2sqrtx+3root(3)(x)+6x^(1/6)+6Inabs(x^(1/6)-1)+C`
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