Definite Integration
Grade None
Question:
<p>The area enclosed by the curve y<sup>2</sup> + x<sup>4</sup> = x<sup>2</sup> is :</p>
<p style="display:inline"><span class="math-tex">\(\frac{10}{3}\)</span></p>
<p style="display:inline"><span class="math-tex">\(\frac{4}{3}\)</span></p>
<p style="display:inline"><span class="math-tex">\(\frac{2}{3}\)</span></p>
<p style="display:inline"><span class="math-tex">\(\frac{8}{3}\)</span></p>
Step-by-Step Solution
Key Concept: Identify the domain of x where y is real and use the curve's symmetry across both axes to compute the total area by multiplying the integral of the first quadrant portion by four.
<p><span class="math-tex">$\frac{4}{3}$</span></p>
Correct Answer: B