Definite Integration
Grade 12
Question:
<p>If the area of the region bounded by the curve y = x - x<sup>2</sup> and the line y = mx equals <span class="math-tex">\(\frac{9}{2}\)</span>, then the value of m is :</p>
<p style="display:inline">-4</p>
<p style="display:inline">-2</p>
<p style="display:inline">5</p>
<p style="display:inline">2</p>
Step-by-Step Solution
Key Concept: The area between the parabola $y = x - x^2$ and the line $y = mx$ is calculated by integrating the difference of the functions between their intersection points, $x = 0$ and $x = 1 - m$.
<p>-2</p>
Correct Answer: B