Area Under the Curve
Area Under a Curve
Premium Question
Grade 12
Question:
The area bounded by the line $y = x$, the $x$-axis, and the ordinates $x = 0$ and $x = 4$ equals _____.
Step-by-Step Solution
Key Concept: Note that $y = x$ is non-negative throughout $[0, 4]$, so the required (geometric) area equals $\int_0^4 x \, dx$ directly.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: 8