Definite Integral

Calculus Level 3

121(x+1)x21dx=1a \large \int \limits _{ 1 } ^{ 2 } \frac{ 1 } { ( x + 1 ) \sqrt{ x^{ 2 } - 1 } } \, dx = \frac{ 1 } {\sqrt{ a } }

Find a a .

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