- #1
lo2
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Homework Statement
Calculate the following integral:
[itex] \int{\frac{\sqrt{x+1}}{x+5}dx} \ , x ≥ 1[/itex]
By using the following substitution:
[itex] t=\sqrt{x+1}[/itex]
Homework Equations
Well using the integration by substitution formula.
The Attempt at a Solution
So I have [itex]t=\sqrt{x+1} \Rightarrow \frac{dx}{dt}=\frac{1}{2\sqrt{x+1}} \Rightarrow dx=dt \frac{1}{2\sqrt{x+1}} [/itex]
But I do not really have this "piece" inside the integral, so I guess you have to apply some special technique which I have forgotten about. So can someone help me?