Consider the function f(x)=6x^8+6x^6−2x^4−7

Question

Enter the antiderivative of f(x)

Answer 1

If you took the derivative of something and you got 6x⁸ as your answer, what would the something need to be? Wouldn't it need to be some form of x⁹ because taking the derivative would mean you reduce the exponent by 1 and getting 8? In fact, it would need to be 2/3x⁹ so that when you bring down the "9" and multiply it be the 2/3 (when taking the derivative), you get 6. So 2/3x⁹ is the antiderivative of 6x⁸.

Repeat that for the other terms.