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 $$A^A$$.

×