Evaluate: `int1/(sqrt(a^2-b^2x^2))dx`

Explanation

`int frac{d x}{sqrt{a^{2}-b^{2} x^{2}}} `
`
=int frac{d x}{sqrt{a^{2}-(b px)^{2}}}`
`

Let `t=bx=dt=b dx`


=frac{1}{b} int frac{d x}{sqrt{2}-t^{2}}`


We know that `int frac{d x}{sqrt{a^{2}-x^{2}}}=sin frac{x}{a}+c`

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