Level 2 Calculus Walkthrough
Question 2(b)
2025 Paper — Find the original function from \(f'(x)\)
Question
\[
f'(x)=2x^3-6x^2+2x+4
\]
The graph of \(f(x)\) passes through \((2,5)\).
Find the equation of \(f\).
Try the question yourself first. If you get stuck, open the hints before using the full walkthrough.
Antidifferentiate first, then use the point \((2,5)\) to work out the constant.
Step 1
Antidifferentiate term by term
Type the antiderivative that matches \(f'(x)=2x^3-6x^2+2x+4\).
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