Hey guys,(adsbygoogle = window.adsbygoogle || []).push({});

I was doing some practice questions and this particular one has me stumped. The topic was on integration with inverse hyperbolic identities, and I was asked to giveexactsolutions for the following integral:

[tex]\int\sqrt{4x^2 -1} dx[/tex] between [tex]\frac{1}{2}[/tex] and [tex]\frac{13}{10}[/tex]

From looking around on the internet I have found a standard integral that I can use (http://en.wikipedia.org/wiki/List_of_integrals_of_irrational_functions" [Broken]) but I would quite like to know the process of deriving this.

I have been fairly confident with these questions but I can see no way of using the basic inverse hyperbolic identities to reach this result and express the definite integral exactly.

Could anyone please lend a hand?

Thanks in advance,

Oscar

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# Definite Integral Help?

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