The original worked lessons remain the main explanations. Use these focused reminders to check the conditions before you start.
Recover a curve from its gradient
Recover a function from its first or second derivative.
Determine independent constants using point and slope data.
Check all conditions and connect the recovered curve to tangents and normals.
Integrate first, then use the given point in the curve equation. Two integrations introduce two independent constants. Slope data belongs in the first derivative. Check the recovered function against every original condition.