Definite Integration
Grade None
Question:
<p>The area bounded by y = 2 - |2 - x| and <span class="math-tex">\(y=\frac{3}{|x|}\)</span> is :</p>
<p style="display:inline"><span class="math-tex">\(\frac{1}{2}+\ln 3\)</span></p>
<p style="display:inline"><span class="math-tex">\(\frac{4+3 \ln 3}{2}\)</span></p>
<p style="display:inline"><span class="math-tex">\(\frac{3}{2}+\ln 3\)</span></p>
<p style="display:inline"><span class="math-tex">\(\frac{4-3 \ln 3}{2}\)</span></p>
Step-by-Step Solution
Key Concept: Find the intersection points by resolving the absolute value and calculate the area by splitting the integral at the modulus vertex and intersection coordinates.
<p><span class="math-tex">\(\frac{4-3 \ln 3}{2}\)</span></p>
Correct Answer: D