Definite Integration
Properties of Definite Integrals
Grade 12
Question:
<p>The value of <span>\(\int_0^{\pi/2} \frac{dx}{1+\tan^3 x}\)</span> is</p>
<p>(A) 0</p>
<p>(B) 1</p>
<p>(C) \(\pi/2\)</p>
<p>(D) \(\pi/4\)</p>
Step-by-Step Solution
Key Concept: Use symmetry properties of definite integrals and substitution to evaluate this integral.
<p><strong>IIT - 1993</strong></p>
Correct Answer: D