Integral oddity

07312016, 09:06 PM
Post: #1




Integral oddity
Integral 1/(x^2 * sqrt(x^2 + 4)) should be (sqrt(x^2 + 4))/4*x
The prime gives (x sqrt(x^2 + 4))/4*x after factorizing or after simplifying. Is this a bug? 

07312016, 09:07 PM
Post: #2




RE: Integral oddity
Version 2016 04 14 (10077)


07312016, 09:14 PM
Post: #3




RE: Integral oddity
When integrating over a specific range such as pi/6 to pi/4, the exact answer converts to a correct approximate answer of ~.303
Am I missing something? 

08012016, 06:17 AM
Post: #4




RE: Integral oddity  
08012016, 10:08 PM
Post: #5




RE: Integral oddity
I must be math challenged/rusty...is not the "x" that Prime produced a variable? How are the 2 answers equivalent?
What has me befuddled is that when made into a definite integral, Prime reports a correct answer. 

08012016, 11:14 PM
(This post was last modified: 08012016 11:17 PM by Dieter.)
Post: #6




RE: Integral oddity
(08012016 10:08 PM)lrdheat Wrote: I must be math challenged/rusty...is not the "x" that Prime produced a variable? How are the 2 answers equivalent? If you simplify the Prime result... Code: –x – sqrt(x²+4) ...you get the same antiderivative plus a constant. Dieter 

08022016, 02:10 AM
Post: #7




RE: Integral oddity
Thanks!
For some reason, I was seeing the denominator as "4" instead of "4*x". 

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