- #1

lazypast

- 85

- 0

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 don't know what to search for. If a website have all these proofs Ill gladly look at them.

[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

[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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