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intdx/(sqrt(x+1)+sqrt(x+2))...

`intdx/(sqrt(x+1)+sqrt(x+2))`

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`I=intdx/(sqrt(x+1)+sqrt(x+2))`
=`int(sqrt(x+1)-sqrt(x+2))/(x+1-x-2)dx`
=`intsqrt(x+2)-sqrt(x+1)dx`
=`2/3(x+2)^(3/2)-2/3(x+1)^(3/2)+c`
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