Re: Two little integrals



On 10 Jul 2005 19:49:21 -0700, novelo wrote:
> Hi. I went to mathematica, but it does not solve this integral
> Sqrt[sin[Sqrt[x]]]

It does if you spell "Sin" with a capital "S".

In[1]:= Integrate[Sqrt[Sin[Sqrt[x]]],x]

3/2
Out[1]= Sin[Sqrt[x]] (

5 7 2
4 Sqrt[x] Cos[Sqrt[x]] Hypergeometric2F1[1, -, -, Sin[Sqrt[x]] ]
4 4
> ---------------------------------------------------------------- -
3

5 5 7 9 2
Pi HypergeometricPFQ[{1, -, -}, {-, -}, Sin[Sqrt[x]] ] Sin[Sqrt[x]]
4 4 4 4
> -------------------------------------------------------------------)
7 9
4 Sqrt[2] Gamma[-] Gamma[-]
4 4

> Are all integrals solvable?

Depends on what you mean.



--
Dave Seaman
Judge Yohn's mistakes revealed in Mumia Abu-Jamal ruling.
<http://www.commoncouragepress.com/index.cfm?action=book&bookid=228>
.



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