Area Under the Curve
Area between curve and x-axis
Grade 12
Question:
<p>If <i>(a, 0)</i>; <i>a > 0</i> is the point where the curve <i>y</i> = sin 2<i>x</i> – 3 sin<i>x</i> cuts the x-axis first, <i>A</i> is the area bounded by this part of the curve, the origin and the positive x-axis, then</p>
<p>(A) 4<i>A</i> + 8 cos <i>a</i> = 7</p>
<p>(B) 4<i>A</i> + 8 sin <i>a</i> = 7</p>
<p>(C) 4<i>A</i> – 8 sin <i>a</i> = 7</p>
<p>(D) 4<i>A</i> – 8 cos <i>a</i> = 7</p>
Step-by-Step Solution
Key Concept: Find the x-intercept of the curve and integrate to find the area, then establish a relationship between A and trigonometric functions at that point.
<p>Not provided in source text</p>
Correct Answer: C