Question

integrate 1*dx/( sqrt[2x^3+10x])

Answer 1

@experimentX @Callisto @Vincent-Lyon.Fr

Answer 2

why do you ask this question, this is not integrable in elementary functions.

Answer 3

Why ?

Answer 4

i mean why it is not integrable

Answer 5

this is not easy to prove. there is a theorem called louville theorem

Answer 6

thxx..for info i will check it out

Answer 7

https://www.google.com/search?q=louville+theorem+non+elementary+integral&rlz=1C1ASUT_enNP447NP447&oq=louville+theorem+non+elementary+integral&aqs=chrome..69i57.25991j0&sourceid=chrome&ie=UTF-8

Answer 8

if an integral has elementary function, then it is given by http://en.wikipedia.org/wiki/Risch_algorithm
all computer algebra system like W|A uses this to find the integral

Answer 9

http://en.wikipedia.org/wiki/Liouville's_theorem_(differential_algebra)
the theorem is pretty hard for undergraduate level. at least i haven't encountered this theorem anywhere.