On Thursday, 19 November 2015 15:41:37 UTC, Matt Rissler wrote:
>
> integrate(x^(3-1)*(1-x)*(3-1),x,0,1)
>
> Why is this returning 1/6 and not 1/30?
>
> well you can check by hand that it is 1/6, for you are integrating a 
polynomial
2*x^2-2*x^3
the antiderivative is 2*(x^3/3-x^4/4), and you get 2*(1/3-1/4)-0=1/6...

perhaps you mean some other function....

 

> More generally why is 
>
> integrate(x^(ai-1)*(1-x)*(bi-1),x,0,1)
>
> returning (bi - 1)/(ai^2 + ai) and not beta(ai,bi) as it should?
>
> Running this on SMC.
>

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