Funtegration

Calculus Level pending

if \(f(0)=g(0)=88,\quad f(10)=g(10)=99,\) and

\(2015=\int _{ 0 }^{ 10 }{ f\left( x \right) g^{ ′ }\left( x \right) } dx\)

Find the sum of all possible values of the definite integral

\(\int _{ 0 }^{ 10 }{ g\left( x \right) f^{ ′ }\left( x \right) } dx\)

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