E-AR03 · Two crossings change the upper curve
Consider \(y=x^3\) and \(y=x\) for \(-1\le x\le1\).
Find all intersection coordinates.
Find the total area enclosed between the curves.
Both curves are translated upward by 4 units. Find the new total area and explain why the signed integral \(\int_{-1}^1[(x+4)-(x^3+4)]\,dx\) is not that area.
Complete-answer checking, worked solutions and indicative written criteria.
Open the complete answer form