Re: Two little integrals

On 10 Jul 2005 15:52:11 -0700, "novelo" <novelo@xxxxxxxxx> wrote:

>Hello everybody. I'm stucked with two integrals.
>I was trying to solve an integral by trigonometrical substitution:
>
> 1
>Integral of: ------------
> (36-x^2)^(4/2)
>
>This is the integral of one over the square root of ((36 - x^2)^4)
>
>Well... so I did all the trigonometric substitution and I get the
>following integral:
>
> 1
>--- Integral of: (secant of theta)^3 dtheta
>216
>
[snip]

As already posted, the usual way here is to expand the integrand in
partial fractions.

>
>An the other one that I've tryed for days and I don't get even near to
>the response (by the way I've tryed this one in 4 calculators and none
>was able to do it) is:
>
>Square root of: [sin(square root of x)] --> This one is not urgent, it
>came outfor curiosity only, but the other one must be solvable, but,
>how!?
>
>Thank you!

Again, as already posted, this is not integrable in elementary
functions.

If you want, go here and solve (or check) any of your specified
integrals: http://integrals.wolfram.com/

.

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