Find the most general antiderivative of the function fxx76x8

Solution

antiderivative of any function is it\'s indefinite integral
in this case the anti-derivative if f(x) is indefinite integral of f(x)dx evaluated as

(1/8)x⁸ - 3x² + 8x + C (C is the constant of integration)

 

the rule being that integral of any polynomial like xⁿdx (n not equal to 1) is [ (1/(n+1))x⁽ⁿ⁺¹⁾ ]