Closed Form

03012014, 04:55 PM
Post: #1




Closed Form
When I tried the integral of x^3/exp(x)1 from zero to infinity, as mentioned in other posts, the Prime didn't process it. That made me think it couldn't find a closed form.
Per my Harper Collins math dictionary, a closed form is an expression for a function or quantity, especially an integral, in terms of known and well understood quantities. It gives an example, the integral of exp(x^2) from negative to positive infinity yielding the square root of Pi. On the Prime, doing this from zero to infinity, it yields 1/2 the square root of Pi. On my HP Pavilion, I have the Home Edition of Mathematica 9. It was able to handle the integral of x^3/exp(x)1 from zero to infinity and yielded 1/15 Pi^4. Maybe in time future updates to the Prime will be able to find more "closed forms." 

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