How much you know about statistics?

Calculus Level pending

Can you recognize this structure? What is the value of it?

\[ \int _{ -\infty }^{ \infty }{ \frac { 1 }{ \sqrt { 2\pi { \sigma }^{ 2 } } } e^{ -\frac { 1 }{ 2 } \frac { { (x-\mu ) }^{ 2 } }{ { \sigma }^{ 2 } } }dx } \]

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