Definite Integration
Integrals with Singularities
Grade 12
Question:
<p>The value of <span>\(\int_{-1}^{1} \frac{3}{|x|} dx\)</span> is</p>
<p>(A) 0</p>
<p>(B) 2</p>
<p>(C) \(2\int_0^1 \frac{3}{|x|} dx\)</p>
<p>(D) \(2\int_0^1 \frac{3}{|x|} dx\)</p>
Step-by-Step Solution
Key Concept: Use the property of even functions and the absolute value to simplify the integral over symmetric limits.
<p><strong>IIT - 1994</strong></p>
Correct Answer: C