text: ## Let the function (y = f(x)) have a continuous derivative on (mathbb{R}) and satisfy (f(x) + xf'(x) = 4{x^3} + 4x + 2,forall x in mathbb{R}). The area of ​​the plane bounded by the lines (y = f(x)) and (y = {f^prime }(x)) is equal to – Math Book
  
  Let the function (y = f(x)) have a continuous derivative on (mathbb{R}) and satisfy (f(x) + xf'(x) = 4{x^3} + 4x + 2,forall x in mathbb{R}). The area of ​​the plane bounded by the lines (y = f(x)) and (y = {f^prime }(x)) is equal to – Math Book – Learn Math
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