a really difficult problem in calculus!!! try to solve this... becaz its really cool!!

Calculus Level 4

f ( x ) = x 2 + 4 x 3 \large f(x) = \sqrt [3]{x^2+4x}

Let g ( x ) g(x) be an antiderivative of function f ( x ) f(x) above. If g ( 5 ) = 7 g(5) = 7 , find g ( 1 ) g(1) .


The answer is -3.882.

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