# A Very Odd Integral

Calculus Level 3

$\large \int _{ -{ \pi }/{ 4 } }^{ { \pi }/{ 4 } }{ \, x^3 \sec^2{x} }~ {dx}$

If the integral above is equal to $$\pi^A -B$$, where $$A$$ and $$B$$ are integers, find $$A+B$$.

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