Evaluate: `intsqrt(x^(2)-a^(2)) / x dx`

Explanation

`=intsqrt(x^(2)-a^(2)) / x dx`


Let,


`x=asec theta`


`dx= asec theta tan theta d theta`


`=intsqrt(a^2sec^2 theta-a^2) / (asec^2 theta) \ asec theta tan theta d theta `


`=aint(tan theta) / (sec theta) \ tan theta d theta `


`=a int(sec^2 theta -1) / (sec theta) d theta `


`=a int(sec theta -cos theta) d theta `


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