Toughest integral

∫√sinx dx

20 Answers

1
ayush_gupta ·

i have checked out that site much earlie it was of no use...

1
1.618 ·

Still, I wanted to know.[1]

Googled it.

1
Shahbaz Ali ·

not in jee syllabus

1
Manmay kumar Mohanty ·

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 "

1
1.618 ·

What is "elliptic integral of the second kind"?

1
The Enlightened One - jsg ·

OR

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

[1]

[its from wolfram alpha]

39
Pritish Chakraborty ·

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

23
qwerty ·

this 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

39
Pritish Chakraborty ·

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.

39
Dr.House ·

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

1
ayush_gupta ·

hey anybody plzzzz solve the question completely

1
Ricky ·

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 .

1
sanchit ·

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

1
ayush_gupta ·

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

1
ayush_gupta ·

the funtion is integrable for sure.

1
Akshay Pamnani ·

@ Gallardo
for any limits??

1
Akshay Pamnani ·

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

1
Akshay Pamnani ·

It cannot be integrated
unintegrable

1
ayush_gupta ·

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

39
Dr.House ·

its not toughest .. its rather out of your scope of understanding at the present level

u get a elliptic integral of the second kind

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