## BdMO National Higher Secondary 2008/4

Moon
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### BdMO National Higher Secondary 2008/4

Problem 4:
The function $f(x)$ is a complicated nonlinear function. It satisfies, $f(x) + f(1-x) = 1$. Evaluate $\int_{0}^{1} f(x)dx$
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin

learn how to write equations, and don't forget to read Forum Guide and Rules.

nafistiham
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### Re: BdMO National Higher Secondary 2008/4

It was also a problem in the secondary.But we don't read this kind of functions in class $IX-X$.
$\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0$
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.

bristy1588
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### Re: BdMO National Higher Secondary 2008/4

TIHAM,

Hint:
Bristy Sikder

Tahmid Hasan
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### Re: BdMO National Higher Secondary 2008/4

আমি তেমন ক্যাল্কুলাস পারি না,তবে লেখ অঙ্কন করলে একটা ক্ষেত্রে প্রতিসাম্য পাওয়া যায় যা দিয়ে সহজে সমাধান সম্ভব।
উত্তর :$\frac {1}{2}$
বড় ভালবাসি তোমায়,মা

bristy1588
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### Re: BdMO National Higher Secondary 2008/4

Tahmid, Tumi ki doye korso bolba??
Bristy Sikder

samiul_samin
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### Re: BdMO National Higher Secondary 2008/4

This problem is discussed and solved here.