Ain't nobody got time for Integration .

Calculus Level 3

If \(\displaystyle \large\int { \cfrac { dx }{ \sqrt { 2ax-{ x }^{ 2 } } } } ={ a }^{ n }\sin ^{ -1 }{ \left[ \cfrac { x }{ a } -1 \right] } \)

Find the value of \(\displaystyle \large n\)

AYWC?
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