Reciprocals

Calculus Level 3

\[ \large \left( \int_{-2}^1 (x^2 + 4x+13) \, dx \right) \left( \int_{-2}^1 \dfrac1{x^2+4x+13} \, dx\right) \]

If the value of the expression above is equal to \( A \pi \), find \(A^A\).

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