Integration !!!

integrate this definite integral

1
∫√1-x4dx
0

if the answer is not possible can we limit it?
can the calculator give the right answer ??
please answer this one .

11 Answers

3
msp ·

use x=√sint

1
Philip Calvert ·

sorry sankara i dont want the method i want the answer

1
Philip Calvert ·

can someone help me.
its not urgent but if anyone can find something about this integral it will be interesting

62
Lokesh Verma ·

calculators will help.. u can even write ur own small code that will find the integrall....

I cant think of the answer in a closed form... :(

I tried a few things but they din work....

Was this question about an inequality philip?

1
Philip Calvert ·

no bhaiyya tried everything
calculators go blank at this

I'm not a complete mug at programming but I won't try that until i am convinced
and i posted this in
TargetIIT » Forum » Puzzles » Integration !!!
bcoz i thought maybe anyone could use some advanced techniques to give the answer or atleast give some interval where it lies

P.S. I had been shown this as an example of a "computer integral" (maybe something that can be calculated using computers) and I dont think (infact i almost know) that it cannot be calculated in some "normal" way.

62
Lokesh Verma ·

philip i meant write the first principle

take intervals of .001

and then take the sum of f(x) and finally divide this sum by 1000

That is the integral by approximation :)

62
Lokesh Verma ·

i will give u the program in C if u cant get it..

i am sure there is nothing great in the program so u can try it yourself :)

1
Philip Calvert ·

ok then will do it tomorrow
but will the approximation be close enough?
can't we solve it by using taylor's expansion u wrote about earlier?[7]

62
Lokesh Verma ·

i think this method will be very accurate...

I used this for a lot of programs.. and it has rarely failed..

just make sure u use a datatype that is double int

i mean it should be able to "store the sum.. there should be no overflow :)

1
Philip Calvert ·

ok got it getting 0.8740.....
thanx

1
Philip Calvert ·

ok talking of codes
bhaiyya can you write a code for this:

http://targetiit.com/iit_jee_forum/posts/try_this_1391.html

i don't want the code but a combinatorial solution would be fantastic
after all the most efficient routine is a mathematical formula
only if you have free time that is [1]

which unfortunately I don't think you have [2]
but just in case .......

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