Toughest integral

these knid of questions don't come in IIT since elliptic integrals r not in syllabi..
if it comes then there must be a option " None of these " u need to mark that............as option saying" not integrable " mayn't come.

it might be integrable in higher concepts but simply for our case " NOT INTEGRABLE "

OR

E(x|m) will give an elliptical integral of SECOND KIND .

[1]

[its from wolfram alpha]

Thanks for the info Gallardo...but I have nothing to do with it anyway, so touché :P

Akshay what they meant by "unintegrable" was that it cannot be integrated by Riemann method(taking a small strip/area and then going across the area under the curve). They use Leibnitz integral methods I think.

ok .. to tell u the answer ,

u first tell me what do u understand by the term elliptic integral??

because just giving out the answer in words which make no sense for anyone themselves make no sense

or i would give away the asnwer if it is only that u want to show your frend u have the answer somehow .. not knowing the head and tail of it

I'll try to explain this -

If you want to evaluate this one , you have to learn Elliptic Integrals Of Second Kind along with Hypergeometric series to reduce the problem . Else , if you put limits from 0 to pi / 2 , then the answer would be given simply by a Beta integral . In any case , that thing is well above JEE syllabus .

http://www.wolframalpha.com/input/?i=Integrate(sinx)^(1/2)dx

the person who gave me the ques said it is integrable for sure...

yeh kya baatein ho rahi hain??
mujhe toh unintegrable bataya gaya tha

It cannot be integrated
unintegrable

i need the indefinite solution itself.....
Somebody plzzzzzzz solve it completely....