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int(x-1)/(x+2)^(3/4)dx...

`int(x-1)/(x+2)^(3/4)dx`

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Verified by Experts

`int(x-1)/(x+2)^(3/4)dx` [Put`x+2=t^4`
Then `dx=4t^3dt`]
=`(t^4-3)/t^3 .4t^3dt`
=`4int(t^4-3)dt=4{t^5/5-3t}+C`
=`(4t)/5(t^4-15)+C`
=`4/5(x+2)^(1/4) (x-13)+C`
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