Find F(x) If F ' (x) = X^3+5 And F(2) =12THANKS!

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Find f(x) if f ' (x) = x^3+5 and f(2) =12 THANKS!

 

Answer No.1

Anonymous

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F '( x ) = x3 + 5 => f( x ) = Integral [ x3 + 5 ] dx => f( x ) = ( 1 / 4 )x4 + 5x + C f( 2 ) = 12 => 4 + 10 + C = 12 => C = 12 - 14 => C = -2 => f( x ) = ( 1 / 4 )x4 + 5x - 2

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