1sorry sankara i dont want the method i want the answer
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 .
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11 Answers
1can someone help me.
its not urgent but if anyone can find something about this integral it will be interesting
62calculators 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?
1no 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.
62philip 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 :)
62i 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 :)
1ok 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]
62i 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 :)
1ok 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 .......