(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The integral of [x]+ln((1+x)/(1-x))(lower limit -0.5 and upper limit is 0.5.)

here [x] show greater integer function means greatest integer less than equal to x. ex [2.3]=0.3,[1.7]=0.7,[-1.4]=0.6 etc.

//sorry that i don't know how to write it in better way

2. Relevant equations

millions so i can't write all of them here two of them is

integral of f(x) from a to b =integral of f(a+b-x) from a to b.

[1-x]=1-[x]

rest are in your mind.

3. The attempt at a solution

replace x by lower limit+ upper limit-x.

function will changed into [1-x]+ln((1-x)/(1+x))

replace [1-x] with 1-[x]. after little modification it will something like this I=integral with limits(1) -I

here I is the integral whose value i want to know.

finally the answer is 1/2 but this iswrong. correct answer as given in book is -1/2. My question is why my answer is wrong?

thanks for any kind of help.

vikash chandola

suport anna hazare(only for indians)

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# Am i doing this question correctly.

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