- #1
Zeth
- 23
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Homework Statement
[tex]\int \!\sqrt {1+{v}^{2}}{dv}[/tex]
Homework Equations
Maple tells me that I have to throw in an arcsinh into the solution some how.
The Attempt at a Solution
I've tried substituting with tan(x) but that got me no where and from the solution I'm given:
[tex]1/2\,v\sqrt {1+{v}^{2}}+1/2\,{\it arcsinh} \left( v \right)[/tex]
I'm not sure how you get the first term and I know that arcsinh(v) is the integral of 1/sqrt(1+v^2)