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Evaluate: int(x-1)/(sqrt(x^2+1))\ dx...

Evaluate: `int(x-1)/(sqrt(x^2+1))\ dx`

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I= `int(x-1)/(sqrt(x^2+1))\ dx`
=` int(x)/(sqrt(x^2+1)) dx-int(1)/(sqrt(x^2+1))\ dx`
=` 1/2int(2x)/(sqrt(x^2+1)) dx- int(1)/(sqrt(x^2+1))\ dx`
Let `x^2+1=t,2xdx=dt`
=`1/2int dt/(sqrt(t))-int(1)/(sqrt(x^2+1))\ dx`
=`sqrt(t)-log|x+sqrt(x^2+1)|`
=`sqrt(x^2+1)-log|x+sqrt(x^2+1)|`
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