Find the most general antiderivative. (Use C for the constant of integration. Remember to use absolute values where appropriate.)

Question

f '(x) = 4x^3 − 10x + 4

Answer 1

just use the power rule: ∫ x^n dx = 1/(n+1) x^(n+1)
So,
f(x) = x^4 - 5x^1 + 4x + C