Area Under the Curve
Area involving local extrema
Grade 12
Question:
<p>The area between curve <i>y</i> = 2<i>x</i>⁴ – <i>x</i>², x-axis and the ordinates of the two minima of the curve is</p>
<p>(A) 7/120 sq. units</p>
<p>(B) 11/120 sq. units</p>
<p>(C) 13/120 sq. units</p>
<p>(D) None of these</p>
Step-by-Step Solution
Key Concept: Find the minimum points of y = 2x⁴ – x² using calculus, then integrate the absolute value of the function between these x-coordinates.
<p>Not provided in source text</p>
Correct Answer: C