- #1

Sparky_

- 227

- 5

Greetings,

I know [tex] \int \frac {1} {{\sqrt{1-x^2}} dx[/tex] is arcsine(x)

My question is can [tex] \int \frac {1} {\sqrt{1-x^2}} dx[/tex]

be solved by some technique (parts, substitution...) and the answer be in terms of x and NOT an expression of arcsine?

Meaning, I would like the solution to the integral in terms of x and possibly other functions (ln for example) but not in terms of trig functions.

If so, can you show me?

Thanks

Sparky_

I know [tex] \int \frac {1} {{\sqrt{1-x^2}} dx[/tex] is arcsine(x)

My question is can [tex] \int \frac {1} {\sqrt{1-x^2}} dx[/tex]

be solved by some technique (parts, substitution...) and the answer be in terms of x and NOT an expression of arcsine?

Meaning, I would like the solution to the integral in terms of x and possibly other functions (ln for example) but not in terms of trig functions.

If so, can you show me?

Thanks

Sparky_

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