Area Under the Curve
Area between two curves
Grade 12

Question:

<p>The area bounded by <i>y</i> = <i>x</i>² + 2 and <i>y</i> = 2|<i>x</i>| – cos <i>x</i> is equal to</p>
<p>(A) 2/3</p>
<p>(B) 8/3</p>
<p>(C) 4/3</p>
<p>(D) 1/3</p>

Step-by-Step Solution

Key Concept: Find intersection points of the two curves, noting the even symmetry of both functions, then integrate the difference over the appropriate interval.
<p>Not provided in source text</p>
Correct Answer: B

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