Definitely solved Indefinite Integral!

Calculus Level 4

\[\large\ \int { \frac { x }{ { ( 5 - 4x - { x }^{ 2 } ) }^{ \frac { 3 }{ 2 } } } \, dx } = \frac { 5 - 2x }{ \eta \sqrt { 5 - \mu x - { x }^{ 2 } } } + C\]

Find the sum of constants \(\mu + \eta \).

\(\)
Clarification: \(C\) denotes the arbitrary constant of integration.

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