1i have checked out that site much earlie it was of no use...
20 Answers
1these 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 "
1
OR
E(x|m) will give an elliptical integral of SECOND KIND .
[1]
[its from wolfram alpha]
39Thanks for the info Gallardo...but I have nothing to do with it anyway, so touché :P
23this thread reminds me the maths lecture where a student asked our sir this same question just for fun , since , the student and the sir both knew it isnt meant to be asked [3] [3]
we all laughed initially , but then our sir said that , yes it is integrable, but it cannot be expressed in the form of the simple functons that we learn durng our JEE preparation
39Akshay 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.
39ok .. 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
1I'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 .
1the person who gave me the ques said it is integrable for sure...
1yeh kya baatein ho rahi hain??
mujhe toh unintegrable bataya gaya tha
1i need the indefinite solution itself.....
Somebody plzzzzzzz solve it completely....
39its not toughest .. its rather out of your scope of understanding at the present level
u get a elliptic integral of the second kind