Definite Integration

Calculus Level 5

\[\displaystyle \int _{ 0 }^{ \infty }{ { e }^{ -({ x }^{ 2 }+4x^{ -2 }) } } \ dx = \ ? \]

Details and Assumptions

  • Does not require any advanced skills like gamma function.
  • Not an original, But I felt it is a nice problem
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