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

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

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