I have just been shown integrals without proof and would rather understand where they came from. I'm sure these have been posted somewhere on here but dont know what to search for. If a website have all these proofs Ill gladly look at them.(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\int \frac {1} {(x^2 - a^2)^{0.5}} = ln(x + (x^2 - a^2)^{0.5})

[/tex]

and

[tex]

\int \frac {1} {x^2 + a^2} = \frac {1} {a} tan^{-1}( \frac {x} {a} )

[/tex]

thanks

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# Proof of integrals

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