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Topic: integration cube root sin x
Replies: 5   Last Post: Feb 28, 2013 5:09 AM

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 Doug Magnoli Posts: 767 Registered: 12/6/04
Re: integration cube root sin x
Posted: Jul 22, 2001 1:34 AM

And BTW, Mathematica gives the indefinite integral as:

Int [(sin x)^(1/3) dx] = - cos(x)*HG2F1[1/2,1/3,3/2,(cos x)^2]*(sin
x)^(4/3) / (sin x)^(4/3),

where HG2F1 is Hypergeometric2F1, defined as:

HG2F1(a,b;c;z) = sum(k=0,inf) (a_k*b_k / c_k) * z^k / k!

hth,

-Doug Magnoli

Tim 9-23 wrote:

> Can this be expressed in elementary functions? I doubt it.
>
> My email address is anti-spammed. If you want to email me,
> remove the 2 B's after hitting email reply.
>
> Tim 9-23

Date Subject Author
7/21/01 Tim 9-23
7/22/01 Doug Magnoli
2/28/13 Audrey
7/22/01 Doug Magnoli
7/22/01 Zdislav V. Kovarik
7/22/01 Tim 9-23