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first calculate the value of this integral:-

\(\int { [log({ e }^{ { \zeta }^{ 2 } } } +1)+2(\frac { { e }^{ { \zeta }^{ 2 } }(2\zeta -1)-1 }{ { { (e }^{ { \zeta }^{ 2 } }+1) }^{ 7 } } )]\quad d\zeta \)

let it be" Q"

now consider this :-

\(\int _{ 1 }^{ 2 }{ \frac { Q }{ x } } dx\)

whats the answer of this integral-

Hint:- THINK!!!!!!

\( \text{ This is an entry in the troll king contest} \)

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