Hello I am trying to find a normalizing factor for(adsbygoogle = window.adsbygoogle || []).push({});

[itex]\int^{3.5}_{0.5}(sin(x*π)+1)^1dx[/itex]

I want that the integral of [itex]\int^{3.5}_{0.5}(sin(x*π)+1)^a dx *factor = \int^{3.5}_{0.5}(sin(x*π)+1)^1dx[/itex]

So for this I need to solve the integral

[itex]\int^{3.5}_{0.5}(sin(x*π)+1)^adx[/itex]

But I did not mange to solve it.

I did found that when I do = a = [1,2,3,4,5,6,7]

I find in wolfram this:

http://www.wolframalpha.com/input/?i=2+3+5+8.75+15.75+28.875

in the end of the page we can see a possible sequenct identification:

[itex]α_{n} = \frac{2^{n}* (\frac{3}{2} )_{n-1} }{(2)_{n-1}}[/itex]

when σ_n is the Pochhammer symbol.

Thank You.

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# This integral solveable [itex]\int^{3.5}_{0.5}(sin(x*π)+1)^adx[/itex]?

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