Find the general antiderivative of the function $f(x)=5x^4-3x^2+7$ and state the correct antiderivative among the following options:

Step-by-step solution

1. Apply the power rule to each term separately.
2. Integrate $5x^4$: $5\cdot \frac{x^5}{5}=x^5$.
3. Integrate $-3x^2$: $-3\cdot \frac{x^3}{3}=-x^3$.
4. Integrate $7$: $7x$.
5. Add the constant of integration $C$.

Concept tested: Basic antiderivative using power rule

Published 7 September 2026 · Last updated 16 September 2026 · How this solution was prepared and checked